Evaluate
\left(x+y+2\right)^{2}
Expand
x^{2}+2xy+4x+y^{2}+4y+4
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x^{2}+2xy+y^{2}+4\left(x+y+1\right)
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}+4x+4y+4
Use the distributive property to multiply 4 by x+y+1.
x^{2}+2xy+y^{2}+4\left(x+y+1\right)
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}+4x+4y+4
Use the distributive property to multiply 4 by x+y+1.
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