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x^{4}-\left(x^{2}-40x+400\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-20\right)^{2}.
x^{4}-x^{2}+40x-400
To find the opposite of x^{2}-40x+400, find the opposite of each term.
x^{4}-\left(x^{2}-40x+400\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-20\right)^{2}.
x^{4}-x^{2}+40x-400
To find the opposite of x^{2}-40x+400, find the opposite of each term.