Answer
$1-25t^6$
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 given expression, $
(1-5t^3)(1+5t^3)
$, is equivalent to
\begin{array}{l}\require{cancel}
(1)^2-(5t^3)^2
\\\\=
1-25t^6
.\end{array}