Evaluate
\left(10-x\right)\left(2-x\right)^{2}
Expand
40-44x+14x^{2}-x^{3}
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\left(2-x\right)^{2}\left(10-x\right)
Multiply 2-x and 2-x to get \left(2-x\right)^{2}.
\left(4-4x+x^{2}\right)\left(10-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
40-4x-40x+4x^{2}+10x^{2}-x^{3}
Apply the distributive property by multiplying each term of 4-4x+x^{2} by each term of 10-x.
40-44x+4x^{2}+10x^{2}-x^{3}
Combine -4x and -40x to get -44x.
40-44x+14x^{2}-x^{3}
Combine 4x^{2} and 10x^{2} to get 14x^{2}.
\left(2-x\right)^{2}\left(10-x\right)
Multiply 2-x and 2-x to get \left(2-x\right)^{2}.
\left(4-4x+x^{2}\right)\left(10-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2-x\right)^{2}.
40-4x-40x+4x^{2}+10x^{2}-x^{3}
Apply the distributive property by multiplying each term of 4-4x+x^{2} by each term of 10-x.
40-44x+4x^{2}+10x^{2}-x^{3}
Combine -4x and -40x to get -44x.
40-44x+14x^{2}-x^{3}
Combine 4x^{2} and 10x^{2} to get 14x^{2}.
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