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4 years ago

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

Mathematics

1 answer:

Mamont248 [21]4 years ago

6 0

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

<u>Step-by-step explanation:</u>

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

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

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