SOLUTION: find the tenth term in the expansion of (x+3)^12

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Question 824889: find the tenth term in the expansion of (x+3)^12
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
find the tenth term in the expansion of (x+3)^12
The Rth term of %28A%2BB%29%5EN is given by
this expression:

%28matrix%282%2C1%2CN%2CR-1%29%29A%5E%28N-R%2B1%29B%5E%28R-1%29

where %28matrix%282%2C1%2Cp%2Cq%29%29 means the same as C%28p%2Cq%29 or pCq 

In your problem A=x, B=3, N=12, R=10

So we substitute those and get

 %28matrix%282%2C1%2C12%2C10-1%29%29%28x%29%5E%2812-10%2B1%29%283%29%5E%2810-1%29

%28matrix%282%2C1%2C12%2C9%29%29%28x%29%5E%283%29%283%29%5E%289%29

%28220%29%28x%5E3%29%2819683%29

4330260x%5E3

The entire expansion is:



Edwin