Question

What is the difference?
X-8/3x - 3x/x^2

Answer 1

`(x - 8)/(3x) - \frac{3x}{ {x}^(2) } \\ \\ (x - 8)/(3x) - (3)/(x) \\ \\ (x - 8 - 9)/(3) \\ \\ ( x - 17)/(3x)`

Answer 2

`\\ (x - 8)/(3x) - \frac{3x}{ {x}^(2) }`

`\\ = (x - 8)/(3x) - \frac{3 {\cancel{x}}}{{ \cancel {x^2} }}`

`\\ = (x - 8)/(3x) - (3)/(x)`

`\\ = (x - 8 - 9)/(3)`

`\\ = (x - 17)/(3x)`