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4\left(x^{2}-x+\frac{1}{4}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{1}{2}\right)^{2}.
4x^{2}-4x+1
Use the distributive property to multiply 4 by x^{2}-x+\frac{1}{4}.
4\left(x^{2}-x+\frac{1}{4}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-\frac{1}{2}\right)^{2}.
4x^{2}-4x+1
Use the distributive property to multiply 4 by x^{2}-x+\frac{1}{4}.