SOLUTION: Can someone help me with this? When I do my problem it seems more confusing from when I started. Rational expressions: Write each expression in simplest form. 4r^2 - 25s^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Can someone help me with this? When I do my problem it seems more confusing from when I started. Rational expressions: Write each expression in simplest form. 4r^2 - 25s^2       Log On


   

Question 45917: Can someone help me with this? When I do my problem it seems more confusing from when I started.
Rational expressions: Write each expression in simplest form.
4r^2 - 25s^2
______________ (This is suppose to be a fraction)
2r^2 + 3rs - 20s^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29 Factor the numerator and the denominator.
%28%282r-5s%29%282r%2B5s%29%29%2F%28%282r-5s%29%28r%2B4s%29%29 Cancel the common factors %282r-5s%29 and you are left with:
%282r%2B5s%29%2F%28r%2B4s%29