SOLUTION: Write each expression in simplest form. 4r^2-25s^2 divided by 2r^2+3rs-20s^2 This one is confusing me please help!

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Question 117929: Write each expression in simplest form.
4r^2-25s^2 divided by 2r^2+3rs-20s^2
This one is confusing me please help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29 Start with the given expression

%28%282r%2B5s%29%282r-5s%29%29%2F%282r%5E2%2B3rs-20s%5E2%29 Factor 4r%5E2-25s%5E2 to get %282r%2B5s%29%282r-5s%29

%28%282r%2B5s%29%282r-5s%29%29%2F%28%28r%2B4s%29%282r-5s%29%29 Factor 2r%5E2%2B3rs-20s%5E2 to get %28r%2B4s%29%282r-5s%29


%282r%2B5s%29cross%28%282r-5s%29%29%2F%28r%2B4s%29cross%28%282r-5s%29%29 Cancel like terms


%282r%2B5s%29%2F%28r%2B4s%29 Simplify


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Answer:

So %284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29 simplifies to %282r%2B5s%29%2F%28r%2B4s%29. In other words %284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29=%282r%2B5s%29%2F%28r%2B4s%29