Evaluate
\frac{\left(b-a\right)^{2}}{4}
Expand
-\frac{ab}{2}+\frac{a^{2}}{4}+\frac{b^{2}}{4}
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\frac{1}{4}b^{2}-\frac{1}{2}ba+\frac{1}{4}a^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(\frac{1}{2}b-\frac{1}{2}a\right)^{2}.
\frac{1}{4}b^{2}-\frac{1}{2}ba+\frac{1}{4}a^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(\frac{1}{2}b-\frac{1}{2}a\right)^{2}.
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