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Factorisation of Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
125 - 8x3 - 27y3 - 90xy
✓

Answer

125 - 8x3 - 27y3 - 90xy
= 53 + (-2x)3 + (-3y)3 - 3 × 5 × (-2x) × (-3y)
= [5 + (-2x) + (-3y)][52 + (-2x)2 + (-3y)2 - 5 × (-2x) - (-2x)(-3y) - 5 × (-3y)]
= (5 - 2x - 3y)(25 + 4x2 + 9y2 + 10x - 6xy + 15y)

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