SOLUTION: Describe a strategy that uses the Binomial theorem to expand ( a+b+c)^12

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Question 747088: Describe a strategy that uses the Binomial theorem to expand ( a+b+c)^12
Answer by Edwin McCravy(20077) About Me  (Show Source):
You can put this solution on YOUR website!
Write (a+b+c)12 as [a+(b+c)]12

(a+b+c)12 = [a+(b+c)]12 =

Then let d = (b+c)

(a+b+c)12 = [a+(b+c)]12 = (a+d)12

Use the binomial theorem to expand (a+d)12

There will be 13 terms, each term will contain a power of (b+c)
from the 12th power all the way down to the 0th power.

Use the binomial theorem to expand each of those powers of (b+c).

Incidentally there will be a total of 91 terms after all like terms 
are collected.

Edwin