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16m^{2}+4m+\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4m+\frac{1}{2}\right)^{2}.
16m^{2}+4m+\frac{1}{4}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4m+\frac{1}{2}\right)^{2}.