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Factorization Of Algebraic Expressions [NEW] — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions [NEW]2 Marks
Question
Factorize:
125x3 - 27y3 - 225x2y + 135xy2
✓

Answer

125x3 - 27y3 - 225x2y + 135xy2
= (5x)3 - (3y)3 - 3 × (5x)2 × 3y + 3 × (5x)(3y)2
= (5x - 3y)3 $\big[\because$ a3 - b3 - 3a2b + 3ab2 = (a - b)3$\big]$
= (5x - 3y)(5x - 3y)(5x - 3y)
$\therefore$ 125x3 - 27y3 - 225a2y + 135xy2
= (5x - 3y)(5x - 3y)(5x - 3y)

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