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16x^{2}+xy+\frac{1}{64}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+\frac{1}{8}y\right)^{2}.
16x^{2}+xy+\frac{1}{64}y^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+\frac{1}{8}y\right)^{2}.