SOLUTION: How do I factor this equation? {{{ 9(3x-4)^-4 -4x(3x+4)^-5}}} The answer is {{{ (3x+4)^-5 (23x+36) }}}, but I do not know the steps to get to it.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I factor this equation? {{{ 9(3x-4)^-4 -4x(3x+4)^-5}}} The answer is {{{ (3x+4)^-5 (23x+36) }}}, but I do not know the steps to get to it.       Log On


   

Question 903808: How do I factor this equation?
+9%283x-4%29%5E-4+-4x%283x%2B4%29%5E-5
The answer is +%283x%2B4%29%5E-5+%2823x%2B36%29+, but I do not know the steps to get to it.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor this::
(3x+4)^-4 -4x(3x+4)^-5
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You have 2 terms with a common factor of (3x+4)^-5
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Factor::
(3x+4)^-5 * [(3x+4) - 4x]
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= (3x+4)^-5 * [-x+4]
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Cheers,
Stan H.
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