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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:
8x3 + y3 + 12x2y + 6xy2
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Answer

8x3 + y3 + 12x2y + 6xy2
= (2x)3 + y3 + 3 × (2x)2 × y + 3(2×) × y2
= (2x + y)3 $\big[\because$ a3 + b3 + 3a2b + 3ab2 = (a + b)3$\big]$
= (2x + y)(2x + y)(2x + y)
$\therefore$ 8x3 + y3 + 12x2y + 6xy2
= (2x + y)(2x + y)(2x + y)

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