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

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) (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)
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