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

Algebra ->  Rational-functions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!

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

Answer by htmentor(1343) About Me  (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, %285%2Asqrt%284%29+%2B+2%2Asqrt%289%29%29%285%2Asqrt%284%29+-+2%2Asqrt%289%29%29
Solving gives 25*4 - 4*9 = 100 - 36 = 64