Dividing Polynomials Examples

Divide .

First, we need to separate this into two fractions:

Now let's write out the variables the long way, without exponents:

Then reduce:

Simplify:

In the final step we were able to add the fractions together, since they shared a common denominator.

Divide  by .

For easiness' sake, we can write this as a fraction:

Next, separate the fractions:

Then reduce:

Simplify:

This is as simplified as we can get, because the fractions have different denominators.

Simplify .

First we give the denominator to both terms in the numerator to split the fraction up into two fractions. Sharing is caring, you know?

Next, we cancel a bunch of stuff and simplify each fraction.

Ah, much better.