Question

How do you add or subtract `(4x+y)/(2x+3y)-(2x-2y)/(2x+3y)`?

Answer 1

`(4x+y)/(2x+3y)-(2x-2y)/(2x+3y)`

here the denominator is same so we can rewrite the expression as:
`((4x+y)-(2x-2y))/(2x+3y)`

`= (4x+y- 2x +2y)/(2x+3y)`
`=cancel (2x +3y)/cancel(2x+3y)`
`=1`