Posted by Brad Paul on November 09, 2002 at 10:53:22:
In Reply to: expanding the binomial expansion posted by Gordon on November 08, 2002 at 22:57:08:
: Is there any type of formulas or patterns for (a+b+c)^n, (a+b+c+d)^n,...?
If you have (a+b)n="your expansion"
then let (a+b+c)=(a+e) where e=(b+c) do your expansion then go back
and put (b+c) back in for e and again apply your expansion knowledge for
the form (a+b)n to all the (b+c) terms.
This of coarse this is the long way but it is important that you see that
this is possible. Because now you see that knowing how to expand
(a+b)n is knowing how to expand
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