SOLUTION: write the first four terms in the expansion of (x+3y)^8

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Question 82094This question is from textbook
: write the first four terms in the expansion of (x+3y)^8 This question is from textbook

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

write the first four terms in the expansion of (x+3y)^8

1st term = C%288%2C0%29%28x%29%5E8%283y%29%5E0=%281%29x%5E8%2A%281%29+=+x%5E8
2nd term = C%288%2C1%29%28x%29%5E7%283y%29%5E1=%288%29x%5E7%2A3y+=+24x%5E7y
3rd term = C%288%2C2%29%28x%29%5E6%283y%29%5E2=%28%288%2A7%29%2F%282%2A1%29%29%28x%5E6%293%5E2%2Ay%5E2+=+252x%5E6y%5E2
4th term = C%288%2C3%29%28x%29%5E5%283y%29%5E3=%28%288%2A7%2A6%29%2F%283%2A2%2A1%29%29%28x%5E5%293%5E3%2Ay%5E3+=+1512x%5E5y%5E3
5th term = C%288%2C4%29%28x%29%5E4%283y%29%5E4
6th term = C%288%2C5%29%28x%29%5E3%283y%29%5E5
7th term = C%288%2C6%29%28x%29%5E2%283y%29%5E6
8th term = C%288%2C7%29%28x%29%5E1%283y%29%5E7
9th term = C%288%2C8%29%28x%29%5E0%283y%29%5E8

Edwin