(3)/(x)+(x)/(x+2)

Question

`(3)/(x)+(x)/(x+2)`

Answer 1

`(3)/(x)+(x)/(x+2)= (x^2+3x+6 )/(x^2+2x)`

Explanation:

Given

`(3)/(x)+(x)/(x+2)`

Required

Solve

`(3)/(x)+(x)/(x+2)`

Take LCM

`(3(x+2) + x * x)/(x(x+2))`

`(3(x+2) + x^2)/(x(x+2))`

Open brackets

`(3x+6 + x^2)/(x^2+2x)`

Rewrite as:

`(x^2+3x+6 )/(x^2+2x)`

Hence:

`(3)/(x)+(x)/(x+2)= (x^2+3x+6 )/(x^2+2x)`