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\frac{9}{4}h^{2}-15hk+25k^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{2}h-5k\right)^{2}.
\frac{9}{4}h^{2}-15hk+25k^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(\frac{3}{2}h-5k\right)^{2}.