Evaluate
3\left(\left(x-6\right)^{2}+3\right)
Expand
3x^{2}-36x+117
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3\left(x^{2}-12x+36\right)+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
3x^{2}-36x+108+9
Use the distributive property to multiply 3 by x^{2}-12x+36.
3x^{2}-36x+117
Add 108 and 9 to get 117.
3\left(x^{2}-12x+36\right)+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-6\right)^{2}.
3x^{2}-36x+108+9
Use the distributive property to multiply 3 by x^{2}-12x+36.
3x^{2}-36x+117
Add 108 and 9 to get 117.
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