Evaluate
\left(x-2y\right)^{2}
Expand
x^{2}-4xy+4y^{2}
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x^{2}+4xy+4y^{2}-8xy
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}
Combine 4xy and -8xy to get -4xy.
x^{2}+4xy+4y^{2}-8xy
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}
Combine 4xy and -8xy to get -4xy.
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