Evaluate
\left(x+1\right)\left(x-4\right)^{2}
Expand
x^{3}-7x^{2}+8x+16
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\left(x^{2}-8x+16\right)\left(x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{3}-7x^{2}+8x+16
Use the distributive property to multiply x^{2}-8x+16 by x+1 and combine like terms.
\left(x^{2}-8x+16\right)\left(x+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{3}-7x^{2}+8x+16
Use the distributive property to multiply x^{2}-8x+16 by x+1 and combine like terms.
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