Important Algebraic Identities
| (a + b)2 = a2 + 2ab + b2 |
| (a – b)2 = a2 – 2ab + b2 |
| a2 – b2 = (a + b)(a – b) |
| (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca |
| (a + b)3 = a3 + b3 + 3ab(a + b) |
| (a – b)3 = a3 – b3 – 3ab(a – b) |
| 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) |
