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## Answers

a2 +b2 = (a+b)2 −2ab2.

(a−b)2 = a2 −2ab+b2;

a2 +b2 = (a−b)2 + 2ab3.

(a+b+c)2 = a2 +b2 +c2 + 2(ab+bc+ca)

. (a+b)3 = a3 +b3 + 3ab(a+b)

a3 +b3 = (a+b)3 −3ab(a+b)

. (a−b)3 = a3 −b3 −3ab(a−b)

a3 −b3 = (a−b)3 + 3ab(a−b)

. a2 −b2 = (a+b)(a−b)

. a3 −b3 = (a−b)(a2 +ab+b2)

. a3 +b3 = (a+b)(a2 −ab+b2)