Find the quotient
Yikes, that looks ugly. This problem is a sneaky one, because we need to apply two layers of factoring. Maybe there's a draft.
First, we can pull out a common factor of 2x to find
Canceling that factor of 2x from the numerator and denominator gives us
Then the numerator factors again, so we can rewrite the expression as
This simplifies to
4x + 1.
All that junk reduces to 4x + 1. Isn't math the most wonderful thing in the world? Smile and nod.
Find the quotient .
There's more stuff going on there than in a Salvador Dali painting. We'll turn this thing into a calmer, more peaceful Monet if we can. Shall we?
We can factor the numerator by grouping to find this crowded mess:
Then we cancel (y + 3) from the numerator and denominator and find
xy + 12
as our final answer. Ah. We are reminded of lily pads and haystacks.
Make it rain.