Answer:
(x - 7y)/(x + 3y)
Step-by-step 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)
