SOLUTION: (x+y)^7
How do you work this problem?
Algebra.Com
Question 213890: (x+y)^7
How do you work this problem?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
^n = \sum_{k=0}^n\,\left(n \cr k\right)\,x^{n-k}y^k)
where
 = \frac{n!}{k!\left(n-k\right)!})
For your case,
^7)
and 
runs from 0 to 7, so the coefficient of the first term of your expansion is:
 = \frac{7!}{0!\left(7-0\right)!})
(remember 0! = 1) 
The rest of the term is
Therefore your entire 1st term is: 
Now let's work on the 2nd term, coefficient first:
 = \frac{7!}{1!\left(7-1\right)!}\ =\ \frac{7!}{6!} = 7)
Then the variables:
Entire 2nd term: 
Third term:
 = \frac{7!}{2!\left(7-2\right)!}\ =\ \frac{7!}{2 \cdot 5!} = \frac{7\cdot6}{2} = 21)
Hence, 
Just follow the pattern to do the rest of the terms and show your answer as the sum of all the terms.
John
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