SOLUTION: Difference of Squares 9m^2-1 I know the answer is (3m^2-1)(3m+1). A friend helped me come to the conclusion. She was unable to explain to me how I would get there. I am trying

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Difference of Squares 9m^2-1 I know the answer is (3m^2-1)(3m+1). A friend helped me come to the conclusion. She was unable to explain to me how I would get there. I am trying      Log On


   



Question 1092668: Difference of Squares
9m^2-1
I know the answer is (3m^2-1)(3m+1). A friend helped me come to the conclusion. She was unable to explain to me how I would get there. I am trying to learn this for the rest of my class. I don't grasp it and my text doesn't explain it.

Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
9m^2-1
I know the answer is (3m^2-1)(3m+1)
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Close, but it's 9m^2-1
I know the answer is (3m-1)(3m+1)
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(3m-1)(3m+1) = 3m*(3m+1) - 1*(3m+1)
= 9m^2 + 3m - 3m - 1
= 9m^2 - 1
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a^2 - b^2 = (a-b)*(a+b)

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
The square of the sum formula is                 %28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the sum formula in this site.


The square of the difference formula is     %28a+-+b%29%5E2+=+a%5E2+-+2ab+%2Bb%5E2.
      For details and examples of applications of this formula see the lesson The square of the difference formula in this site.


The difference of squares formula is       a%5E2+-+b%5E2+=+%28a+%2B+b%29%2A%28a-+b%29.
      For details and examples of applications of this formula see the lesson The difference of squares formula in this site.


By the way, your answer is incorrect.