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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials1 Mark
Question
Factorise:
$125 x^3-27 y^3-225 x^2 y+135 x y^2$
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Answer

$125 x^3-27 y^3-225 x^2 y+135 x y^2$
$(5 x)^3-(3 y)^3-3(5 x)^2(3 y)+3(5 x)(3 y)^2$
$=(5 x-3 y)^3$
Hence, factorisation of $125 x^3-27 y^3-225 x^2 y+135 x y^2$ is $(5 x-3 y)^3$

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