Changes
From Karnataka Open Educational Resources
440 bytes added
, 07:18, 17 August 2014
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| =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> |
| + | *<math> |
| + | *<math> |
| + | *<math> |
| + | |
| =Geometric Results= | | =Geometric Results= |
| =Formulae for commercial arithmetic= | | =Formulae for commercial arithmetic= |