Question

factorise (a+b)³-a-b

Answer 1

By using the formula
(a+b)3=a3+b3+3a2b+3ab2

a3+b3+3a2b+3ab2-a-b
a3+b3+a(3ab-1)+b(3ab-1)
a3+b3+(a+b)(3ab-1)
(a+b)(a2+b2-ab)+(a+b)(3ab-1)
(a+b){(a2+b2-ab)+(3ab-1)}
(a+b)(a2+b2+2ab-1)

HERE IS YOUR ANSWER.
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