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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
4x2 - 9y2 - 2x - 3y
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Answer

4x2 - 9y2 - 2x - 3y
= (2x)2 - (3y)2 - (2x + 3y) $\big[\therefore\ \text{a}^2-\text{b}^2=(\text{a}-\text{b})(\text{a}+\text{b})\big]$
= (2x + 3y)(2x - 3y) - (2x + 3y)
= (2x + 3y)(2x - 3y - 1)

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