Evaluate
\left(x+y\right)\left(x+2y\right)
Expand
x^{2}+3xy+2y^{2}
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x^{2}+2xy+y^{2}+xy+y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
x^{2}+3xy+y^{2}+y^{2}
Combine 2xy and xy to get 3xy.
x^{2}+3xy+2y^{2}
Combine y^{2} and y^{2} to get 2y^{2}.
x^{2}+2xy+y^{2}+xy+y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+y\right)^{2}.
x^{2}+3xy+y^{2}+y^{2}
Combine 2xy and xy to get 3xy.
x^{2}+3xy+2y^{2}
Combine y^{2} and y^{2} to get 2y^{2}.
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