Answer
$25t^2-49$
Work Step by Step
Using $(a+b)(a-b)=a^2-b^2$ or the product of the sum and difference of like terms, the product of the given expression, $
(5t-7)(5t+7)
,$ is
\begin{array}{l}\require{cancel}
(5t)^2-(7)^2
\\\\=
25t^2-49
.\end{array}