Evaluate
x^{2}-x-\frac{3}{4}
Expand
x^{2}-x-\frac{3}{4}
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x^{2}+x\times \frac{1}{2}-\frac{3}{2}x-\frac{3}{2}\times \frac{1}{2}
Apply the distributive property by multiplying each term of x-\frac{3}{2} by each term of x+\frac{1}{2}.
x^{2}-x-\frac{3}{2}\times \frac{1}{2}
Combine x\times \frac{1}{2} and -\frac{3}{2}x to get -x.
x^{2}-x+\frac{-3}{2\times 2}
Multiply -\frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
x^{2}-x+\frac{-3}{4}
Do the multiplications in the fraction \frac{-3}{2\times 2}.
x^{2}-x-\frac{3}{4}
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
x^{2}+x\times \frac{1}{2}-\frac{3}{2}x-\frac{3}{2}\times \frac{1}{2}
Apply the distributive property by multiplying each term of x-\frac{3}{2} by each term of x+\frac{1}{2}.
x^{2}-x-\frac{3}{2}\times \frac{1}{2}
Combine x\times \frac{1}{2} and -\frac{3}{2}x to get -x.
x^{2}-x+\frac{-3}{2\times 2}
Multiply -\frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
x^{2}-x+\frac{-3}{4}
Do the multiplications in the fraction \frac{-3}{2\times 2}.
x^{2}-x-\frac{3}{4}
Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.
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