Evaluate
-\left(y+1\right)^{2}+x^{2}
Expand
x^{2}-y^{2}-2y-1
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x^{2}-\left(1+2y+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+y\right)^{2}.
x^{2}-1-2y-y^{2}
To find the opposite of 1+2y+y^{2}, find the opposite of each term.
x^{2}-\left(1+2y+y^{2}\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1+y\right)^{2}.
x^{2}-1-2y-y^{2}
To find the opposite of 1+2y+y^{2}, find the opposite of each term.
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