SOLUTION: Factor 27r2-12s2

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Question 84164: Factor 27r2-12s2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
27r%5E2-12s%5E2 First, factor out a 3.
3%289r%5E2-4s%5E2%29 Now, do you see that the parentheses contain the difference of two squares?
The difference of two squares can be factored thusly: A%5E2-B%5E2+=+%28A-B%29%28A%2BB%29
Applying this to your problem:
3%289r%5E2-4s%5E2%29+=+3%283r-2s%29%283r%2B2s%29 So...
27r%5E2-12s%5E2+=+3%283r-2s%29%283r%2B2s%29
Do you see how it works?