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4m^{2}-10m+\frac{25}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-2m+\frac{5}{2}\right)^{2}.
4m^{2}-10m+\frac{25}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-2m+\frac{5}{2}\right)^{2}.