SOLUTION: What is the term containing x6 in the expansion of (x+2y)10.
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Algebra.Com
Question 1148573: What is the term containing x6 in the expansion of (x+2y)10.
Thanks
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
Note: It is customary to use "^" (shift-6) to represent exponentiation. So
"What is the term containing x^6 in the expansion of (x+2y)^10"
instead of
"What is the term containing x6 in the expansion of (x+2y)10"
In the expansion, there are 10 identical factors of (x+2y).
To get a term containing x^6, you need to choose the "x" from 6 of the factors and the "2y" from the other 4 factors.
Each time you do that, the partial product is .
The number of ways you can choose 6 of the 10 factors to contain "x" is "10 choose 6".
So the term containing x^6 in the expansion of (x+2y)^10 is
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