How do you simplify (x^2+x+15)/(x^2-3x)?

1 Answer
Nov 19, 2015

( 15)/( - 4x )

Explanation:

When you see this equation:
(x^2 + x + 15)/(x^2 - 3x)

What you need to remember is that you see a x^2 on both sides of the fraction-line. This means you can cross them out, because they are equal on both sides.

So now your equation looks like this:
( x + 15)/( - 3x)

Now as you can see, both sides of the fraction-line have a x. So what you do is you take the smallest x of the largest x, so that you can remove the x

In this case, the smallest x is the x on the numerator and the biggest x is the - 3x on the denominator.

If you apply what I just said, your equation would be:
( x - x + 15)/( - 3x - x) = ( 15)/( - 4x )

So the simplified version of (x^2 + x + 15)/(x^2 - 3x) = ( 15)/( - 4x )