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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$16 x^4+54 x$
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Answer

$16 x^4+54 x$
$=2 x(8 x 3+27)$
$=2 x\left[(2 x)^3+(3)^3\right] \text { Since } a^3+b^3=(a+b)\left(a^2-a \times b+b^2\right)$
$=2 x(2 x+3)\left[(2 x)^2-2 x \times 3+3^2\right]$
$=2 x(2 x+3)\left(4 x^2-6 x+9\right)$

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