Quick Quotient Rule Question

Hello all, I have been having some trouble grasping the quotient rule. Here's a sample problem, and I'll point out where I get tripped up.

1) all over (I couldn't find the right LaTeX command to divide the entire function by )

2) all over

3) I divided from in the numerator, and then combined like terms.

----I think I see where I went wrong. When I divide in the denominator, I need to also do it to ?; the book's answer is .

I guess what I'm asking is if my answer in part 3 is correct assuming the book's is just another way to simplify the same problem?

Re: Quick Quotient Rule Question

Quote:

Originally Posted by

**AZach** I think I see where I went wrong. When I divide

in the denominator, I need to also do it to

?; the book's answer is

.

I guess what I'm asking is if my answer in part 3 is correct assuming the book's is just another way to simplify the same problem?

Your answer in part 3 is incorrect, for the reason that you stated. In general, you can cancel *factors* of the numerator and denominator. But if you want to cancel a factor from an *individual term*, that is not allowed. You must cancel from every term in the numerator.

Continuing from step 2, we have