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Factorization Of Algebraic Expressions — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions2 Marks
Question
Factorize the following expressions:
$10 x^4 y-10 x y^4$
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Answer

$10 x^4 y-10 x y^4$
$=10 x y\left(x^3-y^3\right)$
$=10 x y(x-y)\left(x^2+x y+y^2\right)$
$\therefore\left[x^3-y^3=(x-y)\left(x^2+x y+y^2\right)\right]$
$\therefore 10 x^4 y-10 x y^4=10 x y(x-y)\left(x^2+x y+y^2\right)$

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