Write the following in the expanded form:$ (-3 x+y+z)^{2} $

Given:

\( (-3 x+y+z)^{2} \)

To do:

We have to write the given expression in expanded form.

Solution:

We know that,

$(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca$

Therefore,

$(-3 x+y+z)^{2}=(-3 x)^{2}+(y)^{2}+z^{2}+2 \times (-3 x) \times y+2 \times y \times z+2 \times z \times(-3 x)$

$=9 x^{2}+y^{2}+z^{2}-6 x y+2y z-6 z x$

Hence, $(-3 x+y+z)^{2}=9 x^{2}+y^{2}+z^{2}-6 x y+2y z-6 z x$.

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Updated on: 10-Oct-2022

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