SOLUTION: Write the expression in simplest form. 4r^2-25s^2 ----------- -- = 2r^2+3rs-20s^2

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


   

Question 64778: Write the expression in simplest form.

4r^2-25s^2
-------------- =
2r^2+3rs-20s^2
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
4R^2-25S^2=(2R+5S)(2R-5S)
2R^2+3RS-20S^2=(2R-5S)(R+4S)
(2R+5S)(2R-5S)/(25-5S)(R+S) CANCEL OUT THE COMMON FACTORS (2R-5S) WE HAVE LEFT
(2R+5S)/(R+S)