SOLUTION: Write in simplest form. 4r^2 - 25s^2 divided by 2r^2 + 3rs - 20s^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write in simplest form. 4r^2 - 25s^2 divided by 2r^2 + 3rs - 20s^2      Log On


   

Question 42022: Write in simplest form.
4r^2 - 25s^2
divided by
2r^2 + 3rs - 20s^2
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
First, factor the numerator and the denominator:
4r^2 - 25s^2 = (2r - 5s)(2r + 5s)
divided by
2r^2 + 3rs - 20s^2= (2r -5) (r + 4s)
.
.
(2r - 5s)(2r + 5s)
________________
(2r -5s) (r + 4s)
.
Cancel out (2r-5s)
.
.
=
2r + 5s
_________
r + 4s