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