Evaluate
\frac{\left(1-2n\right)^{2}}{4}
Expand
n^{2}-n+\frac{1}{4}
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\left(-n\right)^{2}-n+\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-n+\frac{1}{2}\right)^{2}.
n^{2}-n+\frac{1}{4}
Calculate -n to the power of 2 and get n^{2}.
\left(-n\right)^{2}-n+\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-n+\frac{1}{2}\right)^{2}.
n^{2}-n+\frac{1}{4}
Calculate -n to the power of 2 and get n^{2}.
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