Evaluate
\left(y-5\right)^{2}+x^{2}+6
Expand
x^{2}+y^{2}-10y+31
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x^{2}+y^{2}-10y+25+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-5\right)^{2}.
x^{2}+y^{2}-10y+31
Add 25 and 6 to get 31.
x^{2}+y^{2}-10y+25+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-5\right)^{2}.
x^{2}+y^{2}-10y+31
Add 25 and 6 to get 31.
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