Evaluate
3\left(\left(x-9\right)^{2}+2\right)
Expand
3x^{2}-54x+249
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3\left(x^{2}-18x+81\right)+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-9\right)^{2}.
3x^{2}-54x+243+6
Use the distributive property to multiply 3 by x^{2}-18x+81.
3x^{2}-54x+249
Add 243 and 6 to get 249.
3\left(x^{2}-18x+81\right)+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-9\right)^{2}.
3x^{2}-54x+243+6
Use the distributive property to multiply 3 by x^{2}-18x+81.
3x^{2}-54x+249
Add 243 and 6 to get 249.
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