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-3\left(x^{2}-6x+9\right)+108
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-3x^{2}+18x-27+108
Use the distributive property to multiply -3 by x^{2}-6x+9.
-3x^{2}+18x+81
Add -27 and 108 to get 81.
-3\left(x^{2}-6x+9\right)+108
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-3x^{2}+18x-27+108
Use the distributive property to multiply -3 by x^{2}-6x+9.
-3x^{2}+18x+81
Add -27 and 108 to get 81.