Evaluate
\left(x-1\right)\left(x+9\right)^{2}
Expand
x^{3}+17x^{2}+63x-81
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\left(x-1\right)\left(x^{2}+18x+81\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+9\right)^{2}.
x^{3}+17x^{2}+63x-81
Use the distributive property to multiply x-1 by x^{2}+18x+81 and combine like terms.
\left(x-1\right)\left(x^{2}+18x+81\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+9\right)^{2}.
x^{3}+17x^{2}+63x-81
Use the distributive property to multiply x-1 by x^{2}+18x+81 and combine like terms.
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