Evaluate
\left(y-3\right)^{2}+x^{2}-12
Expand
x^{2}+y^{2}-6y-3
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x^{2}+y^{2}-6y+9-12
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-3\right)^{2}.
x^{2}+y^{2}-6y-3
Subtract 12 from 9 to get -3.
x^{2}+y^{2}-6y+9-12
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-3\right)^{2}.
x^{2}+y^{2}-6y-3
Subtract 12 from 9 to get -3.
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