Question

How do you subtract `\frac { 8x - 25} { x - 3} - \frac { x - 4} { x - 3}`?

Answer 1

`(8x-25)/(x-3)-(x-4)/(x-3)=7`

Explanation:

The denominators are the same in the two fractions, so we can combine them into a single fraction and then simplify:

`(8x-25)/(x-3)-(x-4)/(x-3)`

`(8x-25-x+4)/(x-3)`

`(7x-21)/(x-3)`

`(7(x-3))/(x-3)=7`