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Binomail theorem finding the coefficient of x^20 term in an rational index expansion with whole power 3..image for question is attached..

Binomail theorem finding the coefficient of x^20 term in an rational index expansion with whole power 3..image for question is attached..

Question Image
Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
6 years ago
Dear Student,
To find the coefficient of x20 in the given exantion, we can replace the terms written in the bracket with the (ex -(higher power of x))3. Now the coefficient of x20 will lies in the (ex)3 (= e3x) only. Now the exponential series has 3x in place of x. therefore the coefficient of x20 will be 320/20!
Thanks.

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