SOLUTION: Write expression in simplest form.(the ^ shows that the following number is a power: 4r^2 = 4r squared) 4r^2-25s^2 / 2r^2+3rs-20s^2

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Write expression in simplest form.(the ^ shows that the following number is a power: 4r^2 = 4r squared) 4r^2-25s^2 / 2r^2+3rs-20s^2      Log On

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Question 54076This question is from textbook Beginning Algebra
: Write expression in simplest form.(the ^ shows that the following number is a power: 4r^2 = 4r squared)
4r^2-25s^2 /
2r^2+3rs-20s^2This question is from textbook Beginning Algebra

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
First you factor and then you cancel:
4r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29
The top is the difference of two squares a%5E2-b%5E2=%28a%2Bb%29%28a-b%29
The denominator is ax%5E2%2Bbx%2Bcit has different methods of factoring, let me know what your teacher is using and I'll show you the steps.
%284r%5E2-25s%5E2%29%2F%282r%5E2%2B3rs-20s%5E2%29=%28%282r%2B5s%29%282r-5s%29%29%2F%28%282r-5s%29%28r%2B4s%29%29
-------------------=%28%282r%2B5s%29cross%282r-5s%29%29%2F%28cross%282r-5s%29%28r%2B4s%29%29
-------------------=highlight%28%282r%2B5s%29%2F%28r%2B4s%29%29
Happy Calculating!!!