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\frac{1}{3}\left(x^{2}+12x+36\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
\frac{1}{3}x^{2}+4x+12-12
Use the distributive property to multiply \frac{1}{3} by x^{2}+12x+36.
\frac{1}{3}x^{2}+4x
Subtract 12 from 12 to get 0.
\frac{1}{3}\left(x^{2}+12x+36\right)-12
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.
\frac{1}{3}x^{2}+4x+12-12
Use the distributive property to multiply \frac{1}{3} by x^{2}+12x+36.
\frac{1}{3}x^{2}+4x
Subtract 12 from 12 to get 0.