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

1 Answer
Mar 14, 2018

(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]