Evaluate
\left(y+2\right)^{2}+\left(x-2\right)^{2}
Expand
x^{2}-4x+y^{2}+4y+8
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x^{2}-4x+4+\left(y+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4+y^{2}+4y+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+2\right)^{2}.
x^{2}-4x+8+y^{2}+4y
Add 4 and 4 to get 8.
x^{2}-4x+4+\left(y+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
x^{2}-4x+4+y^{2}+4y+4
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(y+2\right)^{2}.
x^{2}-4x+8+y^{2}+4y
Add 4 and 4 to get 8.
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Limits
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