SOLUTION: factor this polynomial 27r^2-12s^2

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Question 425770: factor this polynomial 27r^2-12s^2
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
27r%5E2-12s%5E2
When factoring, always start with the Greatest Common Factor (GCF) unless it is a 1. In this case the GCF is 3:
3%289r%5E2-4s%5E2%29
Now we look to other factoring techniques. In this case, the 9r%5E2-4s%5E2 is a difference of squares so we can use the a%5E2-b%5E2+=+%28a%2Bb%29%28a-b%29 pattern to factor it:
3%283r%2B2s%29%283r-2s%29
None of the remaining factors will factor further so we are finished.