Question

What is the sum
of the rational expressions below?

Answer 1

D. 4x² - x / x² - x - 2

Explanation:
First cross multiply then sum the results:

cross:

x(x + 2) = x² + 2x

3x(x - 1) = 3x² - 3x

sum the results of the cross:

x² + 2x + 3x² - 3x

4x² - x (this goes at the top)

Then multiply the bottom:

(x - 1 )(x + 2)

x² + 2x - x - 2

x² - x - 2 (this stays at the bottom)

Fraction ends up like:

4x² - x / x² - x - 2