Question

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

Answer 1

`( 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 )`