SOLUTION: Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 That would be Four r squared minus twenty-five s squared over 2 r squared plus 3 rs minus 20 s squar

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Write the expression in simplest form: 4r^2-25s^2 over 2r^2+3rs-20s^2 That would be Four r squared minus twenty-five s squared over 2 r squared plus 3 rs minus 20 s squar      Log On


   



Question 37844This question is from textbook Beginning Algebra
: Write the expression in simplest form:


4r^2-25s^2 over 2r^2+3rs-20s^2
That would be Four r squared minus twenty-five s squared over 2 r squared plus 3 rs minus 20 s squared...
COuld you please show the work so that I may complete the remaining problems by myself...Thank you
This question is from textbook Beginning Algebra

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay from
4r^2 - 25s^2 / 2r^2 + 3rs - 20s^2
we factor top and bottom and see if anything cancels out (it usually does)
(2r + 5s)(2r - 5s) / (r + 4s)(2r - 5s)
what a surprise, the 2r - 5s cancels, leaving the answer
(2r + 5s) / (r + 4s)