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March 10th, 2016, 05:54 AM   #1
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Binomial theorem

Hoe can I solve this problem. My gut says that the solution for a) is 10.
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March 10th, 2016, 06:00 AM   #2
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Originally Posted by med1student View Post
Hoe can I solve this problem. My gut says that the solution for a) is 10.
Attachment 7328
Your gut is right. :) You know that the second term is $\displaystyle \displaystyle{n \choose 1} \times 1^{n-1} \times 2x = 2nx$, so $\displaystyle 2n = 20 \Rightarrow n = 10$.

Then the third term is $\displaystyle \displaystyle{10 \choose 2} \times 1^8 \times (2x)^2 = 180x^2$.
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