Evaluate
\left(a+3\right)\left(a+1\right)^{2}
Expand
a^{3}+5a^{2}+7a+3
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\left(a+3\right)\left(a+1\right)^{2}
Multiply a+1 and a+1 to get \left(a+1\right)^{2}.
\left(a+3\right)\left(a^{2}+2a+1\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+1\right)^{2}.
a^{3}+2a^{2}+a+3a^{2}+6a+3
Apply the distributive property by multiplying each term of a+3 by each term of a^{2}+2a+1.
a^{3}+5a^{2}+a+6a+3
Combine 2a^{2} and 3a^{2} to get 5a^{2}.
a^{3}+5a^{2}+7a+3
Combine a and 6a to get 7a.
\left(a+3\right)\left(a+1\right)^{2}
Multiply a+1 and a+1 to get \left(a+1\right)^{2}.
\left(a+3\right)\left(a^{2}+2a+1\right)
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(a+1\right)^{2}.
a^{3}+2a^{2}+a+3a^{2}+6a+3
Apply the distributive property by multiplying each term of a+3 by each term of a^{2}+2a+1.
a^{3}+5a^{2}+a+6a+3
Combine 2a^{2} and 3a^{2} to get 5a^{2}.
a^{3}+5a^{2}+7a+3
Combine a and 6a to get 7a.
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