Evaluate
\left(3b+5\right)\left(b-3\right)^{2}
Expand
3b^{3}-13b^{2}-3b+45
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\left(3b+5\right)\left(b^{2}-6b+9\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(b-3\right)^{2}.
3b^{3}-13b^{2}-3b+45
Use the distributive property to multiply 3b+5 by b^{2}-6b+9 and combine like terms.
\left(3b+5\right)\left(b^{2}-6b+9\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(b-3\right)^{2}.
3b^{3}-13b^{2}-3b+45
Use the distributive property to multiply 3b+5 by b^{2}-6b+9 and combine like terms.
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