Answer
$x^3-\dfrac{2}{5}x$
Work Step by Step
Using the long division below, then
\begin{array}{l}\require{cancel}\left(
5x^4-2x^2+10x^3-4x
\right)\div(
5x+10
)\\\\=
x^3-\dfrac{2}{5}x
.\end{array}
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