Answer
$(5x-1)(6x^2+1)$
Work Step by Step
The given expression can be written as:
$6x^2(5x-1)+(5x-1)$
The $GCF$ for the two terms is a binomial, $(5x-1)$. Even though it is a binomial, we can factor it out just like we would factor out a number or a variable. Thus, we factor out the binomial to obtain:
$=(5x-1)(6x^2+1)$