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x^{2}-6x+9-x\left(x-6\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{2}-6x+9-\left(x^{2}-6x\right)
Use the distributive property to multiply x by x-6.
x^{2}-6x+9-x^{2}+6x
To find the opposite of x^{2}-6x, find the opposite of each term.
-6x+9+6x
Combine x^{2} and -x^{2} to get 0.
9
Combine -6x and 6x to get 0.