Answer
$(2x-1)(4x^{2}+2x+1)$
Work Step by Step
If $a$ and $b$ are real numbers, we know that $a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})$.
Therefore, we know that $8x^{3}-1=(2x-1)((2x)^{2}+2x\times1+1^{2})=(2x-1)(4x^{2}+2x+1)$. In this case, $a=2x$ and $b=1$.
