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Write the following in the expanded form:$ (2+x-2 y)^{2} $
Given:
\( (2+x-2 y)^{2} \)
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,
$(2+x-2 y)^{2}=(2)^{2}+(x)^{2}+(-2 y^{2})+2 \times 2 \times x+2 \times x \times(-2 y)+2 \times(-2 y) \times 2$
$=4+x^{2}+4 y^{2}+4 x-4 x y-8 y$
Hence, $(2+x-2 y)^{2}=4+x^{2}+4 y^{2}+4 x-4 x y-8 y$.
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