Evaluate
\left(x-2y\right)^{2}-x+26
Expand
x^{2}-4xy-x+4y^{2}+26
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2+x^{2}-4xy+4y^{2}-\left(x-24\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
2+x^{2}-4xy+4y^{2}-x+24
To find the opposite of x-24, find the opposite of each term.
26+x^{2}-4xy+4y^{2}-x
Add 2 and 24 to get 26.
2+x^{2}-4xy+4y^{2}-\left(x-24\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
2+x^{2}-4xy+4y^{2}-x+24
To find the opposite of x-24, find the opposite of each term.
26+x^{2}-4xy+4y^{2}-x
Add 2 and 24 to get 26.
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