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Polynomials — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsPolynomials1 Mark
Question
Expand using suitable identity: $(2 x-y+z)^2$
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Answer

$(2 x-y+z)^2$
$=\{2 x+(-y)+z\}^2$
$=(2 x)^2+(-y)^2+(z)^2+2(2 x)(-y)+2(-y)(z)+2(z)(2 x)$
$\left(\text { Using Identity }(a+b+c)^2=a^2+b^2+c^2+2 a b+2 b c+2 c a\right)$
$=4 x^2+y^2+z^2-4 x y-2 y z+4 z x$

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