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.Com
Question 943867: Factor Completely.
Write answer in factored form.
Thank you!
Answer by stanbon(75887) (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)
======
= 1/[sqrt(x-8)*sqrt(x+1)] - [sqrt(x+1)/(x-8)^(3/2)]
-------
lcd:: sqrt(x+1)*(x-8)^(3/2)
-------
= (x-8)/lcd - (x+1)/lcd
-------
= -9/lcd
-------
= -9/[sqrt(x+1)*(x-8)^(3/2)]
=============
Cheers,
Stan H.
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