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9a^{2}+6ab+b^{2}+b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(3a+b\right)^{2}.
9a^{2}+6ab+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.
9a^{2}+6ab+b^{2}+b^{2}
Use binomial theorem \left(p+q\right)^{2}=p^{2}+2pq+q^{2} to expand \left(3a+b\right)^{2}.
9a^{2}+6ab+2b^{2}
Combine b^{2} and b^{2} to get 2b^{2}.