Question

What is the sum of the rational expressions below? x+3/x-2 + 3x-8/x-2

Answer 1

Answer:
`\bold{(4x-5)/(x-2)}`

Explanation:

Since the expressions have the same denominator, we simply need to add the numerators.

`(x+3)/(x-2)+(3x-8)/(x-2)\quad =\quad (x+3+3x-8)/(x-2)\quad = \quad \large\boxed{(4x-5)/(x-2)}`