Algebra is a branch mathematics which generalizes mathematical numbers, symbols and letters into equations.
| Basic Formulae |
| (a + b)2 = a2 + b2 + 2ab |
| (a - b)2 = a2 + b2 - 2ab |
| (a + b)2 - (a - b)2 = 4ab |
| (a + b)2 + (a - b)2 = 2(a2 + b2) |
| (a2 - b2) = (a + b)(a - b) |
| (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) |
| (a3 + b3) = (a + b)(a2 - ab + b2) |
| (a3 - b3) = (a - b)(a2 + ab + b2) |
| (a3 + b3 + c3 - 3abc) = (a + b + c)(a2 + b2 + c2 - ab - bc - ca) |
| (a + b)3 = a3 + 3a2b + 3ab2 + b3 |
| (a – b)3 = a3 – 3a2b + 3ab2 – b3 |
| (a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4) |
| (a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4) |
| a4 – b4 = (a – b)(a + b)(a2 + b2) |
| a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4) |
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