Evaluate
x^{2}-\frac{5x}{2}-\frac{3}{2}
Expand
x^{2}-\frac{5x}{2}-\frac{3}{2}
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x^{2}-3x+\frac{1}{2}x+\frac{1}{2}\left(-3\right)
Apply the distributive property by multiplying each term of x+\frac{1}{2} by each term of x-3.
x^{2}-\frac{5}{2}x+\frac{1}{2}\left(-3\right)
Combine -3x and \frac{1}{2}x to get -\frac{5}{2}x.
x^{2}-\frac{5}{2}x+\frac{-3}{2}
Multiply \frac{1}{2} and -3 to get \frac{-3}{2}.
x^{2}-\frac{5}{2}x-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
x^{2}-3x+\frac{1}{2}x+\frac{1}{2}\left(-3\right)
Apply the distributive property by multiplying each term of x+\frac{1}{2} by each term of x-3.
x^{2}-\frac{5}{2}x+\frac{1}{2}\left(-3\right)
Combine -3x and \frac{1}{2}x to get -\frac{5}{2}x.
x^{2}-\frac{5}{2}x+\frac{-3}{2}
Multiply \frac{1}{2} and -3 to get \frac{-3}{2}.
x^{2}-\frac{5}{2}x-\frac{3}{2}
Fraction \frac{-3}{2} can be rewritten as -\frac{3}{2} by extracting the negative sign.
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