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x^{2}+x+\frac{1}{4}-\frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
x^{2}+x-\frac{1}{4}
Subtract \frac{1}{2} from \frac{1}{4} to get -\frac{1}{4}.