SOLUTION: Can you help me with this? Write two binomials of the form (a√b + c√f) and (a√b - c√f). Then find their product. Thank you

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Question 423846: Can you help me with this?
Write two binomials of the form (a√b + c√f) and (a√b - c√f). Then find their product.
Thank you

Found 2 solutions by sudhanshu_kmr, htmentor:
Answer by sudhanshu_kmr(1152)   (Show Source): You can put this solution on YOUR website!

its product = a^2*b - c^2*f

Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
In general, the solution (using FOIL) would be:
, since the middle two terms cancel out.
Using an example,
Solving gives 25*4 - 4*9 = 100 - 36 = 64

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