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