Answer
$5x^{3}(x+1)(x-6)$
Work Step by Step
$5x^{5}-25x^{4}-30x^{3}=$
$5x^{3}(x^{2}-5x-6)=$
$5x^{3}(x^{2}+1x-6x-6)=$
$5x^{3}(x(x+1)-6(x+1))=$
$5x^{3}(x+1)(x-6)$
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