Answer
$(2x+5)(4x^{2}-10x+25)$
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 $8x^{3}+125=(2x+5)((2x)^{2}-2x\times5+(5)^{2})=(2x+5)(4x^{2}-10x+25)$.
In this case, $a=2x$ and $b=5$.