Maharashtra BoardEnglish MediumSTD 9MathsAlgebraic Identities2 Marks
Question
Write the following in the expanded form:
$(-3 x+y+z)^2$
✓
Answer
We have,
$(-3 x+y+z)^2$
$=\left[(-3 x)^2+y^2+z^2+2(-3 x) y+2 y z+2(-3 x) z\right]$
$\left[\therefore(x+y+z)^2=x^2+y^2+z^2+2 x y+2 y z+2 x z\right]$
$9 x^2+y^2+z^2-6 x y+2 y z-6 x z(-3 x+y+z)^2$
$=9 x^2+y^2+z^2-6 x y+2 x y-6 x z$
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