Question

What is the difference of rational expressions below 6x/x-3 - 5/x

Answer 1

`$ (6x^2-5x+15 )/(x^2-3x) $`

Explanation:

`$(6x)/(x-3) -(5)/(x) $`

`$(6x(x))/(x(x-3)) -(5(x-3))/(x(x-3)) $`

`$(6x^2)/(x^2-3x) -(5x-15)/(x^2-3x) $`

`$ (6x^2-5x+15 )/(x^2-3x) $`