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\frac{64x^{2}+1+16x}{4}
Factor out \frac{1}{4}.
\left(8x+1\right)^{2}
Consider 64x^{2}+1+16x. Use the perfect square formula, a^{2}+2ab+b^{2}=\left(a+b\right)^{2}, where a=8x and b=1.
\frac{\left(8x+1\right)^{2}}{4}
Rewrite the complete factored expression.