Hi, I was wondering if this could simply anymore? Thanks in advance!
2e^(2x)[ln(6x^2)] + 2e^(2x)/x - 3/x^4
I don't know if it would be considered "simplifying" (it depends on what you want to do with the expression when you are done); in some ways this makes it look worse, so it's up to you.
You can expand the ln term:
$\displaystyle ln(6x^2) = ln(6) + ln(x^2) = ln(6) + 2ln(x)$
You can also factor the common $\displaystyle 2e^{2x}$ from the first two terms.
-Dan