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Factorization — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsFactorization3 Marks
Question
Solve:
$256 x^5-81 x$
✓

Answer

$256 x^5-81 x$
$= x\left(256 x^4-81\right)$
$= x\left[\left(16 x^2\right)^2-9^2\right)$
$= x\left(16 x^2+9\right)\left(16 x^2-9\right)$
$= x\left(16 x^2+9\right)\left[(4 x)^2-3^2\right]$
$= x\left(16 x^2+9\right)(4 x+3)(4 x-3)$

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