Evaluate
\left(x-y\right)^{2}-x+2
Expand
x^{2}-2xy-x+y^{2}+2
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x^{2}-2xy+y^{2}-\left(x-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-x+2
To find the opposite of x-2, find the opposite of each term.
x^{2}-2xy+y^{2}-\left(x-2\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-x+2
To find the opposite of x-2, find the opposite of each term.
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