Answer
$3(5+x)(5-x)$
Work Step by Step
Factoring out the greatest common factor of 3, the given expression, $
75-3x^2
,$ is equivalent to
\begin{array}{l}\require{cancel}
3(25-x^2)
.\end{array}
Using $a^2-b^2=(a+b)(a-b)$, the completely factored form of the expression above is
\begin{array}{l}\require{cancel}
3(5+x)(5-x)
.\end{array}