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Factorisation of Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsFactorisation of Polynomials2 Marks
Question
Factorise:
$25 x^2+4 y^2+9 z^2-20 x y-12 y z+30 x z$
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Answer

We have:
$25 x^2+4 y^2+9 z^2-20 x y-12 y z+30 x z$
$=(5 x)^2+(-2 y)^2+(3 z)^2+2(5 x)(-2 y)+2(-2 y)(3 z)+2(3 z)(5 x)$
$=[(5 x)+(-2 y)+(3 z)]^2$
$=(5 x-2 y+3 z)^2$

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