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2024-03-29T14:54:19Z
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https://karnatakaeducation.org.in/KOER/en/index.php?title=Factorisation&diff=9706
Factorisation
2014-02-15T06:42:59Z
<p>Aphaniprasad: /* hints for dificult problem */</p>
<hr />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
= Concept Map =<br />
<mm>[[Factorisation of Polynomials.mm|Flash]]</mm><br />
<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
To add textbook links, please follow these instructions to: <br />
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
#[http://www.mathsisfun.com/algebra/polynomials.html Maths is Fun]. This website contains good worksheets for factorisation.<br />
#[http://reference.wolfram.com/mathematica/guide/PolynomialAlgebra.html Wolfram Mathworld]. This website contains good simulations for math identities.<br />
<br />
==Reference Books==<br />
===NCERT Books===<br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=9-16 Algebraic expressions and identities] <br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=14-16 Factorisation]<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept #1 Monomial expressions==<br />
===Learning objectives===<br />
To introduce expressions and the need and method of splitting<br />
===Notes for teachers===<br />
===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
===Activity No #2 Demonstrate Binomial Cube===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time <br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
http://www.infomontessori.com/sensorial/montessori_binomial_cube_1.jpg<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
===Activity No #1 Geogebra===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
[[File:Geogebra_screenshot_for_identities.png|150px]]<br> This is a Geogebra screenshot for identity.<br><br />
{{#widget:YouTube|id=crjItXrt43Q}}<br><br />
This is a classroom demonstration of binomial cube. Show the children before you start the cubic identity.<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
<br />
<br />
# = Hints for difficult problems =<br />
Question : If x= and y= find <br />
<br />
<br />
Solution : <br />
<br />
Analysing the given condition<br />
<br />
Step 1 : = ()() => Using the formula : = ( )()<br />
<br />
step 2 : = ( + )(-) => substitute the value of x and y<br />
<br />
Step 3 : = x => take the L.C.M of the denominator , simplyfy using concept of addition and substaction of fraction <br />
<br />
Step 4: = x <br />
simply the above using basic concepts of addition and substraction<br />
<br />
Step 5 : = x <br />
<br />
Step 6 := x => take common term 2 ( H.C.F)<br />
<br />
Step 7 : = x <br />
<br />
Step 8 : =<br />
#<br />
=hints for difficult problem=<br />
<br />
=====If x+y=a and xy=b then prove that (1+)+(1+) = <br />
<br />
Steps for solution<br />
<br />
step 1: * Understanding the problem first.<br />
* Recalling the indentities <br />
<br />
step 2 : * consider the condition and squaring on both side<br />
* simplify to get the value<br />
<br />
step 3: * consider LHS<br />
* multiply the expression<br />
* substitute the value<br />
* simlpify the equqtion<br />
<br />
<br />
solution for the problem<br />
<br />
consider x+y=a<br />
=<br />
substitute x+y =a and xy=b<br />
then we get <br />
------->(1)<br />
consider xy=b squaring on both side<br />
then we get =------->(2)<br />
<br />
consider LHS=<br />
=(1+)+(1+)<br />
=1+<br />
= 1+ from eqn 1 & 2<br />
=<br />
= <br />
LHS = RHS=============<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =<br />
<br />
'''Usage''' <br />
<br />
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template</div>
Aphaniprasad
https://karnatakaeducation.org.in/KOER/en/index.php?title=Factorisation&diff=9704
Factorisation
2014-02-15T06:42:22Z
<p>Aphaniprasad: /* Activity No # */</p>
<hr />
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[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
= Concept Map =<br />
<mm>[[Factorisation of Polynomials.mm|Flash]]</mm><br />
<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
To add textbook links, please follow these instructions to: <br />
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
#[http://www.mathsisfun.com/algebra/polynomials.html Maths is Fun]. This website contains good worksheets for factorisation.<br />
#[http://reference.wolfram.com/mathematica/guide/PolynomialAlgebra.html Wolfram Mathworld]. This website contains good simulations for math identities.<br />
<br />
==Reference Books==<br />
===NCERT Books===<br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=9-16 Algebraic expressions and identities] <br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=14-16 Factorisation]<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept #1 Monomial expressions==<br />
===Learning objectives===<br />
To introduce expressions and the need and method of splitting<br />
===Notes for teachers===<br />
===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
===Activity No #2 Demonstrate Binomial Cube===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time <br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
http://www.infomontessori.com/sensorial/montessori_binomial_cube_1.jpg<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
===Activity No #1 Geogebra===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
[[File:Geogebra_screenshot_for_identities.png|150px]]<br> This is a Geogebra screenshot for identity.<br><br />
{{#widget:YouTube|id=crjItXrt43Q}}<br><br />
This is a classroom demonstration of binomial cube. Show the children before you start the cubic identity.<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
<br />
<br />
# = Hints for difficult problems =<br />
Question : If x= and y= find <br />
<br />
<br />
Solution : <br />
<br />
Analysing the given condition<br />
<br />
Step 1 : = ()() => Using the formula : = ( )()<br />
<br />
step 2 : = ( + )(-) => substitute the value of x and y<br />
<br />
Step 3 : = x => take the L.C.M of the denominator , simplyfy using concept of addition and substaction of fraction <br />
<br />
Step 4: = x <br />
simply the above using basic concepts of addition and substraction<br />
<br />
Step 5 : = x <br />
<br />
Step 6 := x => take common term 2 ( H.C.F)<br />
<br />
Step 7 : = x <br />
<br />
Step 8 : =<br />
#<br />
=hints for dificult problem=<br />
<br />
=====If x+y=a and xy=b then prove that (1+)+(1+) = <br />
<br />
Steps for solution<br />
<br />
step 1: * Understanding the problem first.<br />
* Recalling the indentities <br />
<br />
step 2 : * consider the condition and squaring on both side<br />
* simplify to get the value<br />
<br />
step 3: * consider LHS<br />
* multiply the expression<br />
* substitute the value<br />
* simlpify the equqtion<br />
<br />
<br />
solution for the problem<br />
<br />
consider x+y=a<br />
=<br />
substitute x+y =a and xy=b<br />
then we get <br />
------->(1)<br />
consider xy=b squaring on both side<br />
then we get =------->(2)<br />
<br />
consider LHS=<br />
=(1+)+(1+)<br />
=1+<br />
= 1+ from eqn 1 & 2<br />
=<br />
= <br />
LHS = RHS=============<br />
<br />
= Project Ideas =<br />
<br />
= Math Fun =<br />
<br />
'''Usage''' <br />
<br />
Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template</div>
Aphaniprasad
https://karnatakaeducation.org.in/KOER/en/index.php?title=Factorisation&diff=9701
Factorisation
2014-02-15T06:39:34Z
<p>Aphaniprasad: /* Hints for difficult problems */</p>
<hr />
<div><!-- This portal was created using subst:box portal skeleton --><br />
<!-- BANNER ACROSS TOP OF PAGE --><br />
{| id="mp-topbanner" style="width:100%;font-size:100%;border-collapse:separate;border-spacing:20px;"<br />
|-<br />
|style="width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_History The Story of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Philosophy Philosophy of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Pedagogy Teaching of Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Curriculum_and_Syllabus Curriculum and Syllabus]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Mathematics:_Topics Topics in School Mathematics]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Text_Books#Mathematics_-_Textbooks Textbooks]<br />
|style=" width:10%; border:none; border-radius:5px;box-shadow: 10px 10px 10px #888888; background:#f9f9ff; vertical-align:middle; text-align:center; "|<br />
[http://karnatakaeducation.org.in/KOER/en/index.php/Maths:_Question_Papers Question Bank]<br />
|}<br />
While creating a resource page, please click here for a resource creation [http://karnatakaeducation.org.in/KOER/en/index.php/Resource_Creation_Checklist '''checklist'''].<br />
= Concept Map =<br />
<mm>[[Factorisation of Polynomials.mm|Flash]]</mm><br />
<br />
<br />
<br />
__FORCETOC__<br />
<br />
= Textbook =<br />
To add textbook links, please follow these instructions to: <br />
([{{fullurl:{{FULLPAGENAME}}/textbook|action=edit}} Click to create the subpage])<br />
<br />
=Additional Information=<br />
==Useful websites==<br />
#[http://www.mathsisfun.com/algebra/polynomials.html Maths is Fun]. This website contains good worksheets for factorisation.<br />
#[http://reference.wolfram.com/mathematica/guide/PolynomialAlgebra.html Wolfram Mathworld]. This website contains good simulations for math identities.<br />
<br />
==Reference Books==<br />
===NCERT Books===<br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=9-16 Algebraic expressions and identities] <br />
#[http://www.ncert.nic.in/ncerts/textbook/textbook.htm?hemh1=14-16 Factorisation]<br />
<br />
= Teaching Outlines =<br />
<br />
==Concept #1 Monomial expressions==<br />
===Learning objectives===<br />
To introduce expressions and the need and method of splitting<br />
===Notes for teachers===<br />
===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
===Activity No #2 Demonstrate Binomial Cube===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time <br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
http://www.infomontessori.com/sensorial/montessori_binomial_cube_1.jpg<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
==Concept #==<br />
===Learning objectives===<br />
===Notes for teachers===<br />
===Activity No #1 Geogebra===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
[[File:Geogebra_screenshot_for_identities.png|150px]]<br> This is a Geogebra screenshot for identity.<br><br />
{{#widget:YouTube|id=crjItXrt43Q}}<br><br />
This is a classroom demonstration of binomial cube. Show the children before you start the cubic identity.<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
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===Activity No # ===<br />
{| style="height:10px; float:right; align:center;"<br />
|<div style="width:150px;border:none; border-radius:10px;box-shadow: 5px 5px 5px #888888; background:#f5f5f5; vertical-align:top; text-align:center; padding:5px;"><br />
''[http://karnatakaeducation.org.in/?q=node/305 Click to Comment]''</div><br />
|}<br />
*Estimated Time<br />
*Materials/ Resources needed<br />
*Prerequisites/Instructions, if any<br />
*Multimedia resources<br />
*Website interactives/ links/ / Geogebra Applets<br />
*Process/ Developmental Questions<br />
*Evaluation<br />
*Question Corner<br />
<br />
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# = Hints for difficult problems =<br />
Question : If x= and y= find <br />
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Solution : <br />
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Analysing the given condition<br />
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Step 1 : = ()() => Using the formula : = ( )()<br />
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step 2 : = ( + )(-) => substitute the value of x and y<br />
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Step 3 : = x => take the L.C.M of the denominator , simplyfy using concept of addition and substaction of fraction <br />
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Step 4: = x <br />
simply the above using basic concepts of addition and substraction<br />
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Step 5 : = x <br />
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Step 6 := x => take common term 2 ( H.C.F)<br />
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Step 7 : = x <br />
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Step 8 : =<br />
# =hints for dificult problem= <br />
=====If x+y=a and xy=b then prove that (1+)+(1+) = <br />
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Steps for solution<br />
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step 1: * Understanding the problem first.<br />
* Recalling the indentities <br />
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step 2 : * consider the condition and squaring on both side<br />
* simplify to get the value<br />
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step 3: * consider LHS<br />
* multiply the expression<br />
* substitute the value<br />
* simlpify the equqtion<br />
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solution for the problem<br />
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consider x+y=a<br />
=<br />
substitute x+y =a and xy=b<br />
then we get <br />
------->(1)<br />
consider xy=b squaring on both side<br />
then we get =------->(2)<br />
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consider LHS=<br />
=(1+)+(1+)<br />
=1+<br />
= 1+ from eqn 1 & 2<br />
=<br />
= <br />
LHS = RHS=============<br />
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= Project Ideas =<br />
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= Math Fun =<br />
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'''Usage''' <br />
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Create a new page and type <nowiki>{{subst:Math-Content}}</nowiki> to use this template</div>
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