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1-\theta ^{2}+\frac{1}{4}
Calculate \frac{1}{2} to the power of 2 and get \frac{1}{4}.
\frac{5}{4}-\theta ^{2}
Add 1 and \frac{1}{4} to get \frac{5}{4}.
\frac{5-4\theta ^{2}}{4}
Factor out \frac{1}{4}. Polynomial -4\theta ^{2}+5 is not factored since it does not have any rational roots.