Simplify (a+b)^c | No Squareroot Needed

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what is another way to form (a+b)^c to another simple expression?
like for example a^c+b^c doesn't work because its not eqivalent to (a+b)^c
(without using squareroot)
 
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im know of no way that is simpler. just look at the example of (a+b)^100.

how simple is that? or just try to simplify (a+b)^3.
 
I occasionally find it useful to write it as a^c * (1 + b/a)^c -- of course only when working over the reals.
 
it doesn't have to be simpler, just not so complicated. thanks CRGreathouse, that helps,
 
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