Answer
$(7x+5)(x^2-3)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
7x^3+5x^2-21x-15
,$ is
\begin{array}{l}
(7x^3+5x^2)-(21x+15)
\\\\=
x^2(7x+5)-3(7x+5)
\\\\=
(7x+5)(x^2-3)
.\end{array}
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