Question

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

Answer 1

Answer:      $\bold{\dfrac{4x-5}{x-2}}$

Step-by-step explanation:

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

$\dfrac{x+3}{x-2}+\dfrac{3x-8}{x-2}\quad =\quad \dfrac{x+3+3x-8}{x-2}\quad = \quad \large\boxed{\dfrac{4x-5}{x-2}}$