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added Category:Mathematics using HotCat
=Algebraic Identities=
=Algebraic Identities=
*<math>(a+b)(a-b)=a^2-b^2</math>
*<math>(a+b)^2=a^2+2ab+b^2</math>
*<math>(a-b)^2=a^2-2ab+b^2</math>
*<math>(x+a)(x+b)=x^2+x(a+b)+ab</math>
*<math>(x+a)(x+b)(x+c)=x^3+x^2(a+b+c)+x(ab+bc+ca)+abc</math>
*<math>(a+b)^3=a^3+3ab(a+b)+b^3</math>
*<math>(a-b)^3=a^3-3ab(a-b)-b^3</math>
*<math>a^3+b^3=(a+b)(a^2-ab+b^2)</math>
*<math>a^3-b^3=(a-b)(a^2+ab+b^2)</math>
*<math>(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca</math>
*<math>a^4+a^2b^2+b^4=(a^2+b^2+ab)(a^2+b^2-ab)</math>
*<math>(a+b+c)^3-a^3-b^3-c^3=3(a+b)(b+c)(c+a)</math>
*<math>(a+b)(b+c)(c+a)=(a+b+c)(ab+bc+ca)-abc</math><br>
=Geometric Results=
=Geometric Results=
=Formulae for commercial arithmetic=
=Formulae for commercial arithmetic=
=Statistical Formulae=
=Statistical Formulae=
{|class="wikitable"
{|class="wikitable"
|-
|-
|Shape
|Name
|Perimeter
|Perimeter
|Area
|Area
|Triangle
|Triangle
|(a+b+c), where a, b, c are sides
|(a+b+c), where a, b, c are sides
|<math>\frac{1}{2}*b*h</math>
|<math>\frac{1}{2}bh</math>
where "h" is the height from any vertex to the opposite side "b"
where "h" is the height from any vertex to the opposite side "b"
|-
|-
|Circle
|Circle
|<math>2*{\pi}*r</math>
|<math>2{\pi}r</math>
|<math>{\pi}*r^2</math>
|<math>{\pi}r^2</math>
|-
|Square
|<math>4a</math>
Where a is the side of a square
|<math>a^2</math>
|-
|Rectangle
|<math>2(l+b)</math>
Where l & b are the length & breadth
|<math>lb</math>
|-
|Trapezium
|<math>(a+b+c+d)</math>
Where a,b,c and d are the sides
|<math>\frac{1}{2}h(a+b)</math>
Where a and b are parallel sides of trapezium. And h is the perpendicular distance between two parallel sides.
|-
|Parallelogram
|<math>2(a+b)</math>
Where a & b are the sides of Parallelogram
|<math>bh</math>
Where b is base and h is the perpendicular distance between base b and its parallel side.
|-
|Rhombus
|<math>4a</math>
Where a is the side of a rhombus
|<math>\frac{1}{2}(d_{1}d_{2})</math>
Where d1 and d2 are diagonals of rhombus
|-
|-
|}
|}
|<math>2B+Ph</math>
|<math>2B+Ph</math>
Where B=<math>\frac{\sqrt{3}a^2}{4}</math> is the area of base
Where B=<math>\frac{\sqrt{3}a^2}{4}</math> is the area of base
|Bh
|<math>Bh</math>
Where B=<math>\frac{\sqrt{3}a^2}{4}</math>
Where B=<math>\frac{\sqrt{3}a^2}{4}</math>
|-
|-
|<math>\frac{2}{3}{\pi}r^3</math>
|<math>\frac{2}{3}{\pi}r^3</math>
|-
|-
|}
[[Category:Mathematics]]