Evaluate
x\left(60-x\right)
Expand
60x-x^{2}
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900-\left(x^{2}-60x+900\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-30\right)^{2}.
900-x^{2}+60x-900
To find the opposite of x^{2}-60x+900, find the opposite of each term.
-x^{2}+60x
Subtract 900 from 900 to get 0.
900-\left(x^{2}-60x+900\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-30\right)^{2}.
900-x^{2}+60x-900
To find the opposite of x^{2}-60x+900, find the opposite of each term.
-x^{2}+60x
Subtract 900 from 900 to get 0.
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