Question

How do you simplify `3/(x-3) - 1/x`?

Answer 1

`color(blue)(=> (2x - 3) / (x^2 - 3x)`

Explanation:

`3 / (x - 3) - (1/x)`

`=> (3 * x - (1 * (x - 3)))/ (x * (x - 3)), color(red)("Taking " x*(x-3) " as LCM"`

`=>(3x - x + 3) / (x * (x-3))`

`color(blue)(=> (2x - 3) / (x^2 - 3x)`