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| 1. |
Identities of algebraic |
| Answer» The standard algebraic identities are:\xa0\t(a + b)2\xa0= a2\xa0+ 2ab + b2\t(a – b)2\xa0= a2\xa0– 2ab + b2\t\xa0a2\xa0– b2\xa0= (a + b)(a – b)\t(x + a)(x + b) = x2\xa0+ (a + b) x + ab\t(a + b + c)2\xa0= a2\xa0+ b2\xa0+ c2\xa0+ 2ab + 2bc + 2ca\t(a + b)3\xa0= a3\xa0+ b3\xa0+ 3ab (a + b)\t(a – b)3\xa0= a3\xa0– b3\xa0– 3ab (a – b)\ta3\xa0+ b3\xa0+ c3– 3abc = (a + b + c)(a2\xa0+ b2\xa0+ c2\xa0– ab – bc – ca) | |