Expand
20b^{2}-60bc+45c^{2}
Evaluate
5\left(2b-3c\right)^{2}
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5\left(4b^{2}-12bc+9c^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2b-3c\right)^{2}.
20b^{2}-60bc+45c^{2}
Use the distributive property to multiply 5 by 4b^{2}-12bc+9c^{2}.
5\left(4b^{2}-12bc+9c^{2}\right)
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(2b-3c\right)^{2}.
20b^{2}-60bc+45c^{2}
Use the distributive property to multiply 5 by 4b^{2}-12bc+9c^{2}.
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