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\left(-x\right)^{2}+24\left(-x\right)+144
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-x+12\right)^{2}.
x^{2}+24\left(-x\right)+144
Calculate -x to the power of 2 and get x^{2}.
x^{2}-24x+144
Multiply 24 and -1 to get -24.
\left(-x\right)^{2}+24\left(-x\right)+144
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-x+12\right)^{2}.
x^{2}+24\left(-x\right)+144
Calculate -x to the power of 2 and get x^{2}.
x^{2}-24x+144
Multiply 24 and -1 to get -24.