Answer
$(2x+5y)(4x^2-10xy+25y^2)$
Work Step by Step
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of two cubes, then,
\begin{array}{l}
8x^3+125y^3
\\=
[(2x)+(5y)][(2x)^2-(2x)(5y)+(5y)^2]
\\=
(2x+5y)(4x^2-10xy+25y^2)
.\end{array}
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