Question

Simplify into one fraction

(4/x+3)-(2/x-5)
A.2x-26/(x+3)(x-5)
B.2(x-26)/(x+3)(x-5)
C.6/(x+3)(x-5)
D.2/(x+3)(x-5)

Answer 1

a)
`(2x-26)/((x+3)(x-5))`

Explanation:

Explanation

Given

`(4)/(x+3) - (2)/(x-5)`

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

`= (4x-20-2x-6))/((x+3)(x-5))`

`= (2x-26)/((x+3)(x-5))`

`(4)/(x+3) - (2)/(x-5)` =
`(2x-26)/((x+3)(x-5))`