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-\left(x^{2}-6x+9\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-x^{2}+6x-9-2
To find the opposite of x^{2}-6x+9, find the opposite of each term.
-x^{2}+6x-11
Subtract 2 from -9 to get -11.
-\left(x^{2}-6x+9\right)-2
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-x^{2}+6x-9-2
To find the opposite of x^{2}-6x+9, find the opposite of each term.
-x^{2}+6x-11
Subtract 2 from -9 to get -11.