Gujarat BoardEnglish MediumSTD 9MathsAlgebraic Identities2 Marks
Question
Write the following in the expanded form:
$(2 x-y+z)^2$
✓
Answer
We have,
$(2 x-y+z)^2=(2 x)^2+(-y)^2+(z)^2+2(2 x)(-y)+2(-y)(z)+2(2 x)(z)$
${\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+2 x z\right]}$
$(2 x-y+z)^2=4 x^2+y^2+z^2-4 x y-2 y z+4 x z$
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