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\frac{1}{3}\left(x^{2}-12x+36\right)
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
Use the distributive property to multiply \frac{1}{3} by x^{2}-12x+36.
\frac{1}{3}\left(x^{2}-12x+36\right)
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
Use the distributive property to multiply \frac{1}{3} by x^{2}-12x+36.