Evaluate
\left(a+b\right)\left(a+2b\right)
Expand
a^{2}+3ab+2b^{2}
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a^{2}+2ab+b^{2}+b\left(a+b\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+2ab+b^{2}+ba+b^{2}
Use the distributive property to multiply b by a+b.
a^{2}+3ab+b^{2}+b^{2}
Combine 2ab and ba to get 3ab.
a^{2}+3ab+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
a^{2}+2ab+b^{2}+b\left(a+b\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+b\right)^{2}.
a^{2}+2ab+b^{2}+ba+b^{2}
Use the distributive property to multiply b by a+b.
a^{2}+3ab+b^{2}+b^{2}
Combine 2ab and ba to get 3ab.
a^{2}+3ab+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
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