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\frac{1}{16}a^{2}-4ab+64b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a\times \frac{1}{4}-8b\right)^{2}.
\frac{1}{16}a^{2}-4ab+64b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(a\times \frac{1}{4}-8b\right)^{2}.