[rushyrulz]

Originally Posted by sickufully

So with the first one, when you do this step:


What exactly happens to the 6 out the front and the +3 before (-sin...)?
Are they just divided by each other, so the 6 = 2 and the 3 = 1 (which just disappears)?

6 * 1/3 = 2, 3 * 2/3 = 2. Distributive property moves the 2 outside the parenthesis.

Originally Posted by sickufully

And for the second one, I completely missed that rule for 1/x = x^-1. Also, the final simplifying step you did, is it necessary to do that or is it OK to leave it as: -3/x^2 + e^3x + 2/x^3?

I do understand how you got 2-3x/x^3 + e^3x, I'm just wondering if I'll lose marks in a test for not simplifying further.

You won't lose points on a test if you don't simplify it all the way down like that, but you'll look like one smart cookie if you do~