Evaluate
x\left(6-x\right)
Expand
6x-x^{2}
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9-\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
9-x^{2}+6x-9
To find the opposite of x^{2}-6x+9, find the opposite of each term.
-x^{2}+6x
Subtract 9 from 9 to get 0.
9-\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
9-x^{2}+6x-9
To find the opposite of x^{2}-6x+9, find the opposite of each term.
-x^{2}+6x
Subtract 9 from 9 to get 0.
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