Evaluate
\left(x-40\right)\left(x-10\right)^{2}
Expand
x^{3}-60x^{2}+900x-4000
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x\left(900-60x+x^{2}\right)-4000
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(30-x\right)^{2}.
900x-60x^{2}+x^{3}-4000
Use the distributive property to multiply x by 900-60x+x^{2}.
x\left(900-60x+x^{2}\right)-4000
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(30-x\right)^{2}.
900x-60x^{2}+x^{3}-4000
Use the distributive property to multiply x by 900-60x+x^{2}.
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