Evaluate
\left(x-2y\right)^{2}-2x-2y
Expand
x^{2}-4xy-2x+4y^{2}-2y
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x^{2}-4xy+4y^{2}-2\left(x+y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}-2x-2y
Use the distributive property to multiply -2 by x+y.
x^{2}-4xy+4y^{2}-2\left(x+y\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}-2x-2y
Use the distributive property to multiply -2 by x+y.
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