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elena-s [515]
3 years ago
6

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

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

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)

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