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