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x^{2}+9
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x^{2}+9
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x^{2}-6x+9-\left(-6x\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+6x
The opposite of -6x is 6x.
x^{2}+9
Combine -6x and 6x to get 0.
x^{2}-6x+9-\left(-6x\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+6x
The opposite of -6x is 6x.
x^{2}+9
Combine -6x and 6x to get 0.
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