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