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\frac{1}{2}xx+\frac{1}{2}x\left(-2\right)+18x-36
Apply the distributive property by multiplying each term of \frac{1}{2}x+18 by each term of x-2.
\frac{1}{2}x^{2}+\frac{1}{2}x\left(-2\right)+18x-36
Multiply x and x to get x^{2}.
\frac{1}{2}x^{2}+\frac{-2}{2}x+18x-36
Multiply \frac{1}{2} and -2 to get \frac{-2}{2}.
\frac{1}{2}x^{2}-x+18x-36
Divide -2 by 2 to get -1.
\frac{1}{2}x^{2}+17x-36
Combine -x and 18x to get 17x.
\frac{1}{2}xx+\frac{1}{2}x\left(-2\right)+18x-36
Apply the distributive property by multiplying each term of \frac{1}{2}x+18 by each term of x-2.
\frac{1}{2}x^{2}+\frac{1}{2}x\left(-2\right)+18x-36
Multiply x and x to get x^{2}.
\frac{1}{2}x^{2}+\frac{-2}{2}x+18x-36
Multiply \frac{1}{2} and -2 to get \frac{-2}{2}.
\frac{1}{2}x^{2}-x+18x-36
Divide -2 by 2 to get -1.
\frac{1}{2}x^{2}+17x-36
Combine -x and 18x to get 17x.