SOLUTION: Divide and, if possible, simplify. (x^2- 2x-8)/(x^2- 9) ÷ (x-4)/(x+3)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Divide and, if possible, simplify. (x^2- 2x-8)/(x^2- 9) ÷ (x-4)/(x+3)      Log On


   

Question 283997: Divide and, if possible, simplify.
(x^2- 2x-8)/(x^2- 9) ÷ (x-4)/(x+3)
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(x^2- 2x-8)/(x^2- 9) ÷ (x-4)/(x+3)
(x-4)(x+2)/(x-3)(x+3)+(x-4)/(x+3)
[(x-4)(x+2)+(x-4)(x-3)]/(x-3)(x+3)
[(x-4)(x+2+x-3)]/(x-3)(x+3)
(x-4)(2x-1)/(x-3)(x+3) ans.