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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
(a + b)3 - a - b
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Answer

(a + b)3 - a - b
= (a + b)3 - (a + b)
= (a + b)[(a + b)2 - 12] $\big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\big]$
= (a + b)(a + b + 1)(a + b - 1)

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