SOLUTION: Factor Completely. {{{ (x-8)^(-1/2)(x+1)^(-1/2)-(x+1)^(1/2)(x-8)^(-3/2) }}} Write answer in factored form. Thank you!

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: Factor Completely. {{{ (x-8)^(-1/2)(x+1)^(-1/2)-(x+1)^(1/2)(x-8)^(-3/2) }}} Write answer in factored form. Thank you!      Log On


   

Question 943867: Factor Completely.

Write answer in factored form.
Thank you!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(x-8)^(-1/2)(x+1)^(-1/2)-(x+1)^(1/2)(x-8)^(-3/2)
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= 1/[sqrt(x-8)*sqrt(x+1)] - [sqrt(x+1)/(x-8)^(3/2)]
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lcd:: sqrt(x+1)*(x-8)^(3/2)
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= (x-8)/lcd - (x+1)/lcd
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= -9/lcd
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= -9/[sqrt(x+1)*(x-8)^(3/2)]
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Cheers,
Stan H.
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