SOLUTION: how do i do this??? Simplify (all positive exponents) {{{(5w-4v)/(16v^2-25w^2)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: how do i do this??? Simplify (all positive exponents) {{{(5w-4v)/(16v^2-25w^2)}}}      Log On


   

Question 134135: how do i do this???
Simplify (all positive exponents)
%285w-4v%29%2F%2816v%5E2-25w%5E2%29
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
%2816v%5E2-25w%5E2%29 is the difference of two squares, so %2816v%5E2-25w%5E2%29=%284v-5w%29%284v%2B5w%29, so:

%285w-4v%29%2F%2816v%5E2-25w%5E2%29=%285w-4v%29%2F%284v-5w%29%284v%2B5w%29

5w-4v=-%284v-5w%29 so:


Answer by josmiceli(19441) About Me  (Show Source):