Answer
$(5x+4)(x^2-2)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
5x^3+4x^2-10x-8
,$ is
\begin{array}{l}
(5x^3+4x^2)-(10x+8)
\\\\=
x^2(5x+4)-2(5x+4)
\\\\=
(5x+4)(x^2-2)
.\end{array}
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