Question

Algebra 2 questions

Answer 1

Explanation:

`(2)/(x - y) + (3)/(x + y) - (5)/(y - x) - \frac{7x - 9y}{ {y}^(2) - {x}^(2) } \\ \\ = (2)/(x - y) + (3)/(x + y) + (5)/(x - y) - \frac{7x - 9y}{ {y}^(2) - {x}^(2) } \\ \\ = (7)/(x - y) + (3)/(x + y) - \frac{7x - 9y}{ {y}^(2) - {x}^(2) } \\ \\ = (7x + 7y + 3x - 3y)/((x - y)(x + y)) - \frac{7x - 9y}{ {y}^(2) - {x}^(2) } \\ \\ = \frac{10x + 4y}{ {x}^(2) - {y}^(2) } + \frac{7x - 9y}{ {x}^(2) - {y}^(2) } \\ \\ = \frac{17x - 5y}{ {x}^(2) - {y}^(2) } \\ \\ = \frac{ \red{ \boxed{ \bold{5y - 17x}}}}{ {y}^(2) - {x}^(2) }`