Question

What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answer 1

The answer is

`(3x + 4)/(x + 5)`

Explanation:

We can do this by using the denominators.

`then \\ (2x + 7)/(x + 5) + (x - 3)/(x + 5) \\ = (2x + 7 + x - 3)/(x + 5) \\ = (3x + 4)/(x + 5)`

Answer 2

`(3x+4)/(x+5)`

Explanation:

Given

`(2x+7)/(x+5)` +
`(x-3)/(x+5)`

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

=
`(2x+7+x-3)/(x+5)`

=
`(3x+4)/(x+5)`