# How do you simplify #\frac { 9x + 19} { x ^ { 2} + 2x - 3}#?

##### 1 Answer

It really doesn't simplify much. The bottom line becomes

#### Explanation:

You have a quadratic on the bottom, identifiable by the layout

take your last number a.k.a the one without an unknown '

Then find the factors of this new value which add up to your

Factors of

Rewrite the original quadratic:

as

remember that these two lines above are equal, but this second version makes it possible to simplify.

Take out what is common in the first two terms firstly, and then the second two terms.

we now have a common sum in both brackets, so we can actually rewrite this as:

Lastly, don't forget that this is part of your original fraction.

The top line cannot simplify because

Viola!