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Algebraic Identities — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsAlgebraic Identities2 Marks
Question
Write the following in the expanded form: $(-3x + y + z)^2$​​​​​​​
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Answer

We have, $(-3x + y + z)^2$
$= [(-3x)^2 + y^2 + z^2 + 2(-3x)y + 2yz + 2(-3x)z]$
$\big[\therefore$$(x + y + z)^2 = x^2+ y^2 + z^2 + 2xy + 2yz + 2xz$$\big]$
$9x^2 + y^2 + z^2 - 6xy + 2yz - 6xz (-3x + y + z)^{20}$
$= 9x^2 + y^2 + z^2 - 6xy + 2xy - 6xz$

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