write the algebraic identities
Answers
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*(a + b) 2 = a 2 + b 2 + 2ab
*(a − b) 2 = a 2 + b 2 − 2ab
*a 2 − b 2 = (a − b) (a + b)
*(x + a) (x + b) = x 2 + (a + b) x + ab
*(a + b + c) 2 = a 2 + b 2 + c 2 + 2ab + 2bc + 2ca
*(a + (−b) + (−c)) 2 = a 2 + (−b) 2 + (−c) 2 + 2a (−b) + 2 (−b) (−c) + 2a (−c)
*(a – b – c) 2 = a 2 + b 2 + c 2 − 2ab + 2bc − 2ca
*(a + b) 3 = a 3 + b 3 + 3ab(a + b)
*(a − b) 3 = a 3 - b 3 - 3ab(a - b)
*a 3 − b 3 = (a − b) (a 2 + b 2 + ab)
*a 3 + b 3 = (a + b) (a 2 + b 2 − ab)
*(a + b + c) 3 = a 3 + b 3 + c 3 + 3(a + b)(b + c)(c + a)
*a 3 + b 3 + c 3 − 3abc = (a + b + c) (a 2 + b 2 + c 2 − ab − bc − ac)
*a n − b n = (a − b) (a n−1 + a n−2 b 1 + a n−3 b 2 + .... + a 1 b n−2 + b n−1 )