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3\left(x^{2}+6x+9\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
3x^{2}+18x+27-12
Use the distributive property to multiply 3 by x^{2}+6x+9.
3x^{2}+18x+15
Subtract 12 from 27 to get 15.
3\left(x^{2}+6x+9\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
3x^{2}+18x+27-12
Use the distributive property to multiply 3 by x^{2}+6x+9.
3x^{2}+18x+15
Subtract 12 from 27 to get 15.