Hi guys, I'm working my calculus HW right now and this one problem for some reason really confused me and for the life of me I cannot wrap my head around it. My question is not so much about the concept, as it is about the quotient rule and how it is applied.

Given $\displaystyle f'(x)=\frac{(e^{4x+5})(2)-(2x+3)(e^{4x+5})(4)}{e^{(4x+5)^2}}$

What would be the best way to go about simplifying this fraction? I'm afraid I've kind of forgotten rules for cancelling terms within expressions like this one.

If someone could lay it out for me, I'd really appreciate it! Thanks