MENU

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:

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.

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 get:

xy + 12

Ah. We're reminded of lily pads and haystacks.

Make it rain.

The who, what, where, when, and why of all your favorite quotes.

Go behind the scenes on all your favorite films.

You've been inactive for a while, logging you out in a few seconds...