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August 29, 2015

Homework Help: Algebra

Posted by Tammy on Thursday, July 19, 2007 at 10:12pm.

(3x+4)/(3x-4)+(3x-4)/(3x+4)
--------------------------- Divide top by bottom
(3x-4)/(3x+4)-(3x+4)/(3x-4)

Very Big Problem and help would be greatly appreciated

not that tough once you notice that your question has the pattern
(a/b + b/a)(b/a - a/b)
where a = 3x+4 and b=3x-4

this easily reduces to (a^2 + b^2)/(b^2 - a^2)

now replace a and b with 3x+4 and 3x-4 and it simplifies to

(9x^2+16)/(-24x)

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