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 March 10th, 2016, 05:54 AM #1 Member   Joined: Aug 2015 From: Podgorica Posts: 61 Thanks: 0 Binomial theorem Hoe can I solve this problem. My gut says that the solution for a) is 10. BinomialTheorem1.PNG
March 10th, 2016, 06:00 AM   #2
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 Originally Posted by med1student 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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