SOLUTION: Write this expression in simplest form. 4r^2 - 25s^2/2r^2 + 3rs - 20s^2 Thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write this expression in simplest form. 4r^2 - 25s^2/2r^2 + 3rs - 20s^2 Thanks!      Log On


   

Question 40838This question is from textbook Beginning Algebra
: Write this expression in simplest form.
4r^2 - 25s^2/2r^2 + 3rs - 20s^2
Thanks! This question is from textbook Beginning Algebra

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The watchwords here are to factor and cancel, factor and cancel, factor and cancel...so from
(4r^2 - 25s^2) / (2r^2 + 3rs - 20s^2) =
(2r + 5s)(2r - 5s) / (2r - 5s)(r + 4s) =
(2r + 5s) / (r + 4s)