Evaluate
\frac{\left(1-4x\right)^{2}}{4}
Expand
4x^{2}-2x+\frac{1}{4}
Graph
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\frac{1}{4}\left(1-8x+16x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-4x\right)^{2}.
\frac{1}{4}-2x+4x^{2}
Use the distributive property to multiply \frac{1}{4} by 1-8x+16x^{2}.
\frac{1}{4}\left(1-8x+16x^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-4x\right)^{2}.
\frac{1}{4}-2x+4x^{2}
Use the distributive property to multiply \frac{1}{4} by 1-8x+16x^{2}.
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