Evaluate
\left(x-420\right)\left(x-69\right)\left(x-57\right)
Expand
x^{3}-546x^{2}+56853x-1651860
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\left(x^{2}-57x-420x+23940\right)\left(x-69\right)
Apply the distributive property by multiplying each term of x-420 by each term of x-57.
\left(x^{2}-477x+23940\right)\left(x-69\right)
Combine -57x and -420x to get -477x.
x^{3}-69x^{2}-477x^{2}+32913x+23940x-1651860
Apply the distributive property by multiplying each term of x^{2}-477x+23940 by each term of x-69.
x^{3}-546x^{2}+32913x+23940x-1651860
Combine -69x^{2} and -477x^{2} to get -546x^{2}.
x^{3}-546x^{2}+56853x-1651860
Combine 32913x and 23940x to get 56853x.
\left(x^{2}-57x-420x+23940\right)\left(x-69\right)
Apply the distributive property by multiplying each term of x-420 by each term of x-57.
\left(x^{2}-477x+23940\right)\left(x-69\right)
Combine -57x and -420x to get -477x.
x^{3}-69x^{2}-477x^{2}+32913x+23940x-1651860
Apply the distributive property by multiplying each term of x^{2}-477x+23940 by each term of x-69.
x^{3}-546x^{2}+32913x+23940x-1651860
Combine -69x^{2} and -477x^{2} to get -546x^{2}.
x^{3}-546x^{2}+56853x-1651860
Combine 32913x and 23940x to get 56853x.
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