Evaluate
\left(x-69420\right)\left(x-42069\right)\left(x-420\right)\left(x-69\right)
Expand
x^{4}-111978x^{3}+2974977081x^{2}-1431321211440x+84634060820400
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\left(x^{2}-420x-69x+28980\right)\left(x-69420\right)\left(x-42069\right)
Apply the distributive property by multiplying each term of x-69 by each term of x-420.
\left(x^{2}-489x+28980\right)\left(x-69420\right)\left(x-42069\right)
Combine -420x and -69x to get -489x.
\left(x^{3}-69420x^{2}-489x^{2}+33946380x+28980x-2011791600\right)\left(x-42069\right)
Apply the distributive property by multiplying each term of x^{2}-489x+28980 by each term of x-69420.
\left(x^{3}-69909x^{2}+33946380x+28980x-2011791600\right)\left(x-42069\right)
Combine -69420x^{2} and -489x^{2} to get -69909x^{2}.
\left(x^{3}-69909x^{2}+33975360x-2011791600\right)\left(x-42069\right)
Combine 33946380x and 28980x to get 33975360x.
x^{4}-42069x^{3}-69909x^{3}+2941001721x^{2}+33975360x^{2}-1429309419840x-2011791600x+84634060820400
Apply the distributive property by multiplying each term of x^{3}-69909x^{2}+33975360x-2011791600 by each term of x-42069.
x^{4}-111978x^{3}+2941001721x^{2}+33975360x^{2}-1429309419840x-2011791600x+84634060820400
Combine -42069x^{3} and -69909x^{3} to get -111978x^{3}.
x^{4}-111978x^{3}+2974977081x^{2}-1429309419840x-2011791600x+84634060820400
Combine 2941001721x^{2} and 33975360x^{2} to get 2974977081x^{2}.
x^{4}-111978x^{3}+2974977081x^{2}-1431321211440x+84634060820400
Combine -1429309419840x and -2011791600x to get -1431321211440x.
\left(x^{2}-420x-69x+28980\right)\left(x-69420\right)\left(x-42069\right)
Apply the distributive property by multiplying each term of x-69 by each term of x-420.
\left(x^{2}-489x+28980\right)\left(x-69420\right)\left(x-42069\right)
Combine -420x and -69x to get -489x.
\left(x^{3}-69420x^{2}-489x^{2}+33946380x+28980x-2011791600\right)\left(x-42069\right)
Apply the distributive property by multiplying each term of x^{2}-489x+28980 by each term of x-69420.
\left(x^{3}-69909x^{2}+33946380x+28980x-2011791600\right)\left(x-42069\right)
Combine -69420x^{2} and -489x^{2} to get -69909x^{2}.
\left(x^{3}-69909x^{2}+33975360x-2011791600\right)\left(x-42069\right)
Combine 33946380x and 28980x to get 33975360x.
x^{4}-42069x^{3}-69909x^{3}+2941001721x^{2}+33975360x^{2}-1429309419840x-2011791600x+84634060820400
Apply the distributive property by multiplying each term of x^{3}-69909x^{2}+33975360x-2011791600 by each term of x-42069.
x^{4}-111978x^{3}+2941001721x^{2}+33975360x^{2}-1429309419840x-2011791600x+84634060820400
Combine -42069x^{3} and -69909x^{3} to get -111978x^{3}.
x^{4}-111978x^{3}+2974977081x^{2}-1429309419840x-2011791600x+84634060820400
Combine 2941001721x^{2} and 33975360x^{2} to get 2974977081x^{2}.
x^{4}-111978x^{3}+2974977081x^{2}-1431321211440x+84634060820400
Combine -1429309419840x and -2011791600x to get -1431321211440x.
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