Question

How do you combine `(5x-1)/((2x+9)(x-6))-(3x-6)/((2x+9)(x-6))`?

Answer 1

`(2x+5)/((2x+9)(x-6))`

Explanation:

Since both have the same denominator you can directly add/subtract the numerators:

`((5x - 1) - (3x-6))/((2x+9)(x-6))`

Make sure to distribute the negative correctly:
`(5x - 1 - 3x+6)/((2x+9)(x-6)) = ((5x-3x)+(-1+6))/((2x+9)(x-6))`

`= (2x+5)/((2x+9)(x-6))`