Question

How do you subtract `(4x+5)/(5x-2)-(3x-7)/(5x-2)`?

Answer 1

`(4x+5)/(5x-2)-(3x-7)/(5x-2)=(x+12)/(5x-2)`

Explanation:

Here the denominator is the same. So, write the denominator as one term and then subtract the numerator.

`(4x+5)/(5x-2)-(3x-7)/(5x-2)=((4x+5)-(3x-7))/(5x-2)`
`=(4x+5-3x+7)/(5x-2)` [Distrubution property]
`=(x+12)/(5x-2)` [Adding like terms]