Question

LOTS OF POINTS
Simply the rational expression. Show and explain all steps.

Answer 1

(x - 7y)/(x + 3y)

Explanation:

x² - 5xy - 14y²

x² - 7xy + 2xy - 14y²

x(x - 7y) + 2y(x - 7y)

(x - 7y)(x + 2y)

x² + 5x + 6y²

x² + 3xy + 2xy + 6y²

x(x + 3y) + 2y(x + 3y)

(x + 3y)(x + 2y)

[(x - 7y)(x + 2y)] ÷ [(x + 3y)(x + 2y)]

(x - 7y)/(x + 3y)