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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:
$y^3+125$
 
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Answer

$y^3+125$
$=y^3+5^3$
$\therefore\left[a^3+b^3=(a+b)\left(a^2-a b+b^2\right)\right]$
$=(y+5)\left(y^2-5 y+5^2\right)$
$=(y+5)\left(y^2-5 y+25\right)$
$\therefore y^3+125$
$=(y+5)\left(y^2-5 y+25\right)$

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