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\frac{9}{4}a^{2}+3ab+b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(-\frac{3}{2}a-b\right)^{2}.
\frac{9}{4}a^{2}+3ab+b^{2}
Use binomial theorem \left(p-q\right)^{2}=p^{2}-2pq+q^{2} to expand \left(-\frac{3}{2}a-b\right)^{2}.