SOLUTION: Write the expression in simplest form: 4r^2-25s^2 ---------- 2r^2+3rs-20s^2 I have no idea where to start on this problem. Thank you so much :-)

Question 66190: Write the expression in simplest form:
4r^2-25s^2
----------
2r^2+3rs-20s^2
I have no idea where to start on this problem. Thank you so much :-)
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Write the expression in simplest form:
4r^2-25s^2
----------
2r^2+3rs-20s^2
I have no idea where to start on this problem. Thank you so much :-)
Lets start by factoring the numerator and denominator:
NUMERATOR: 4r^2-25s^2=(2r-5s)(2r+5s)
DENOMINATOR: 2r^2+3rs-20s^2=(2r-5s)(r+4s)

Now we have:
(2r-5s)(2r+5s)
-------------- =
(2r-5s)(r+4s)

2r+5s
-----
r+4s

Hope this helps-----ptaylor
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