Expand
x^{3}-60x^{2}+900x-4000
Evaluate
\left(x-40\right)\left(x-10\right)^{2}
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\left(x-40\right)\left(x^{2}-20x+100\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-10\right)^{2}.
x^{3}-60x^{2}+900x-4000
Use the distributive property to multiply x-40 by x^{2}-20x+100 and combine like terms.
\left(x-40\right)\left(x^{2}-20x+100\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-10\right)^{2}.
x^{3}-60x^{2}+900x-4000
Use the distributive property to multiply x-40 by x^{2}-20x+100 and combine like terms.
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