Question

What is the difference of the rational expressions below? *photo

Answer 1

Answer: C.

`(-2x+1)/(x^2)`

Step-by-step explanation

Given

`(3x+1)/(x^2)-(5)/(x)`

We have to find the minimum common denominator, which in our case is x². Then, we divide this denominator over the denominator of each term in the given equation, multiply it times the numerator, and place the result as follows:

`(3x+1)/(x^(2))-(5)/(x)=(3x+1-5x)/(x^2)`

Simplifying by adding similar terms we get:

`=(1-2x)/(x^2)`