SOLUTION: simplify expression (9x-1)^1/2 - (x+8)(9x-1)^-1/2 I tried putting negative on bottom to cancel out with other term, but answer is still wrong. What do I have to do?

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: simplify expression (9x-1)^1/2 - (x+8)(9x-1)^-1/2 I tried putting negative on bottom to cancel out with other term, but answer is still wrong. What do I have to do?      Log On


   



Question 344638: simplify expression
(9x-1)^1/2 - (x+8)(9x-1)^-1/2
I tried putting negative on bottom to cancel out with other term, but answer is still wrong. What do I have to do?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(9x-1)^1/2 - (x+8)(9x-1)^-1/2
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Common Factor: (9x-1)^(-1/2)
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= (9x-1)^(-1/2)[(9x-1)-(x+8)]
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= [8x-9]/sqrt(9x-1)
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Cheers,
Stan H.