I just can't seem to get this one, it's in the first assignment of my semester...

Factor:

x^-1/2(3x+4)^1/2+3x^1/2(3x+4)^-1/2

thanks for any hel;p, i just want to know how to do it not even the answer necessarily

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- Sep 1st 2010, 05:08 PMjorygoldsmithFactoring problem with negative and rational exponents
I just can't seem to get this one, it's in the first assignment of my semester...

Factor:

x^-1/2(3x+4)^1/2+3x^1/2(3x+4)^-1/2

thanks for any hel;p, i just want to know how to do it not even the answer necessarily - Sep 1st 2010, 05:15 PMjorygoldsmith
x^(-1/2)(3x+4)^(1/2)+3x^(1/2)(3x+4)^(-1/2)

should be written like this sorry - Sep 1st 2010, 05:30 PMskeeter
- Sep 1st 2010, 05:33 PMjorygoldsmith
how about

[(x+h)^(-2)-(x)^(-2)]/h - Sep 1st 2010, 05:49 PMskeeter
easier this way ...

$\displaystyle \displaystyle \frac{1}{h} \left[\frac{1}{(x+h)^2} - \frac{1}{x^2}\right]$

get a common denominator and combine the two fractions inside the [brackets], then combine like terms and factor the numerator ... ultimate goal is to get the "h" in the first fraction to cancel.

also ... next time, start a new problem w/ a new thread.