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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:
$2 a^5-32 a$
✓

Answer

$2 a^5-32 a$
$=2 a\left(a^4-16\right)$
$=2 a\left[\left(a^2\right)^2-4^2\right]$
$=2 a\left(a^2+4\right)\left(a^2-4\right)$
$=2 a\left(a^2+4\right)\left(a^2-2^2\right)$
$=2 a\left(a^2+4\right)(a+2)(a-2)$
$=2 a(a-a)(a+2)\left(a^2+4\right)$

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