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

Algebra.Com
Question 747088: Describe a strategy that uses the Binomial theorem to expand ( a+b+c)^12
Answer by Edwin McCravy(20077)   (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
RELATED QUESTIONS

Determine the no. of terms in the expansion (2x^2-(1/4x))^12. I got 13, by using the... (answered by Fombitz)
Write an explanation for a student in Mathematics 30-1 about how to expand (a+b)^3. Fully (answered by ikleyn,math_tutor2020)
Use the Binomial Theorem to expand... (answered by jim_thompson5910)
use the Binomial Theorem to expand (x -... (answered by jim_thompson5910)
Use the binomial theorem to expand (x-4)^5 (answered by fractalier)
Use the binomial theorem to expand... (answered by ikleyn)
Use Pascal's Triangle to expand each binomial.... (answered by praseenakos@yahoo.com)
Use Pascal's Triangle to expand each binomial.... (answered by stanbon)
(2r^(-1)+ s^(-1))^5 Expand the sum of the two terms of a Binomial. Using the Binomial... (answered by persian52)