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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
x - 8xy3
✓

Answer

x - 8xy3
= x(1 - 8y3)
= x[(1)3 - (2y)3]
= x(1 - 2y)[(1)2 + 1 × 2y + (2y)2] Since a3 - b3 = (a - b)(a2 + a × b + b2)
= x (1 - 2y)(1 + 2y + 4y2)

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