Answer
$(x+5)(3x+11)$
Work Step by Step
The trinomial $x^2+10x+25$ is a perfect square trinomial since the square of half of the middle term's coefficient, which is $(\frac{10}{2})^2=5^2$, is equal to the third term of the trinomial.
This means that the factored form of the trinomial is $(x+5)^2$.
Thus, the given expression is equivalent to:
$=3(x+5)^2-4(x+5)$
Factor out $x+5$ to obtain:
$=(x+5)[3(x+5)-4]
\\=(x+5)(3x+15-4)
\\=(x+5)(3x+11)$
