Answer
$(7t-5)(t^2+1)$
Work Step by Step
Using factoring by grouping, the factored form of the given expression, $
7t^3-5t^2+7t-5
,$ is
\begin{array}{l}
(7t^3-5t^2)+(7t-5)
\\\\=
t^2(7t-5)+(7t-5)
\\\\=
(7t-5)(t^2+1)
.\end{array}
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