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