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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$81 x^4-y^4$
✓

Answer

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

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