Answer
$(x+3)(x-5)(x+5)$
Work Step by Step
$ x^{3}+3x^{2}-25x-75\qquad$...group terms with common factors.
$=(x^{3}+3x^{2})+(-25x-75)\qquad$...factor from each group.
$=x^{2}(x+3)-25(x+3)\qquad$...factor out the common binomial factor,$x+3$.
$=(x+3)(x^{2}-25)\qquad$...recognize the difference of two squares: $a^{2}-b^{2}=(a-b)(a+b)$
$=(x+3)(x-5)(x+5)$
