Evaluate
\left(x-12\right)^{2}
Expand
x^{2}-24x+144
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1\left(9-6x+x^{2}\right)-18\left(x-3\right)+81
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-x\right)^{2}.
9-6x+x^{2}-18\left(x-3\right)+81
Use the distributive property to multiply 1 by 9-6x+x^{2}.
9-6x+x^{2}-18x+54+81
Use the distributive property to multiply -18 by x-3.
9-24x+x^{2}+54+81
Combine -6x and -18x to get -24x.
63-24x+x^{2}+81
Add 9 and 54 to get 63.
144-24x+x^{2}
Add 63 and 81 to get 144.
1\left(9-6x+x^{2}\right)-18\left(x-3\right)+81
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-x\right)^{2}.
9-6x+x^{2}-18\left(x-3\right)+81
Use the distributive property to multiply 1 by 9-6x+x^{2}.
9-6x+x^{2}-18x+54+81
Use the distributive property to multiply -18 by x-3.
9-24x+x^{2}+54+81
Combine -6x and -18x to get -24x.
63-24x+x^{2}+81
Add 9 and 54 to get 63.
144-24x+x^{2}
Add 63 and 81 to get 144.
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