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3\left(x^{2}+12x+36\right)-75
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
3x^{2}+36x+108-75
Use the distributive property to multiply 3 by x^{2}+12x+36.
3x^{2}+36x+33
Subtract 75 from 108 to get 33.
3\left(x^{2}+12x+36\right)-75
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
3x^{2}+36x+108-75
Use the distributive property to multiply 3 by x^{2}+12x+36.
3x^{2}+36x+33
Subtract 75 from 108 to get 33.