Evaluate
\left(x+y+1\right)^{2}
Expand
x^{2}+2xy+2x+y^{2}+2y+1
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x^{2}+2xy+y^{2}+2\left(x+y\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}+2x+2y+1
Use the distributive property to multiply 2 by x+y.
x^{2}+2xy+y^{2}+2\left(x+y\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}+2x+2y+1
Use the distributive property to multiply 2 by x+y.
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