SOLUTION: Hello, good morning. I need help with this math problem. It says: "Simplify: [(2x^-1)+(3x^-1)]/[(9x^2)-(4y^2)]" Could you explain it to me step by step? Thank you in advance.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, good morning. I need help with this math problem. It says: "Simplify: [(2x^-1)+(3x^-1)]/[(9x^2)-(4y^2)]" Could you explain it to me step by step? Thank you in advance.      Log On


   

Question 944518: Hello, good morning. I need help with this math problem.
It says: "Simplify: [(2x^-1)+(3x^-1)]/[(9x^2)-(4y^2)]"
Could you explain it to me step by step?
Thank you in advance.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28%282x%5E-1%29%2B%283x%5E-1%29%29%2F%28%289x%5E2%29-%284y%5E2%29%29....first write x%5E-1 as 1%2Fx, %289x%5E2%29 as %283x%29%5E2, and 4y%5E2 as %282y%29%5E2

%282%281%2Fx%29%2B3%281%2Fx%29%29%2F%28%283x%29%5E2-%28%282y%29%5E2%29%29

%282%2Fx%2B3%2Fx%29%2F%28%283x-2y%29%283x%2B2y%29%29

%285%2Fx%29%2F%28%283x-2y%29%283x%2B2y%29%29

5%2F%28x%283x-2y%29%283x%2B2y%29%29