Gujarat BoardEnglish MediumSTD 9MathsPolynomials2 Marks
Question
Factorise : $4 x^2+y^2+z^2-4 x y-2 y z+4 x z$
✓
Answer
We have,
$4 x^2+y^2+z^2-4 x y-2 y z+4 x z=(2 x)^2+(-y)^2+(z)^2+2(2 x)(-y)+2(-y)(z)+2(2 x)(z)$
$=[2 x+(-y)+z]^2$
$=(2 x-y+z)^2$
$=(2 x-y+z)(2 x-y+z)$
This is the required factorisation.
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