Evaluate
x^{2}-\frac{3x}{2}+\frac{1}{2}
Expand
x^{2}-\frac{3x}{2}+\frac{1}{2}
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x^{2}-x-\frac{1}{2}x-\frac{1}{2}\left(-1\right)
Apply the distributive property by multiplying each term of x-\frac{1}{2} by each term of x-1.
x^{2}-\frac{3}{2}x-\frac{1}{2}\left(-1\right)
Combine -x and -\frac{1}{2}x to get -\frac{3}{2}x.
x^{2}-\frac{3}{2}x+\frac{1}{2}
Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.
x^{2}-x-\frac{1}{2}x-\frac{1}{2}\left(-1\right)
Apply the distributive property by multiplying each term of x-\frac{1}{2} by each term of x-1.
x^{2}-\frac{3}{2}x-\frac{1}{2}\left(-1\right)
Combine -x and -\frac{1}{2}x to get -\frac{3}{2}x.
x^{2}-\frac{3}{2}x+\frac{1}{2}
Multiply -\frac{1}{2} and -1 to get \frac{1}{2}.
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