SOLUTION: In the following expansion,find the indicated term. (1+2x^2)^8 ,term in x^12.

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Question 1187158: In the following expansion,find the indicated term. (1+2x^2)^8 ,term in x^12.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

For any value of n, whether positive, negative, integer or non-integer, the value of the nth power of a binomial is given by:
%28a%2Bb%29%5En=sum%28C%28n%2Ck%29a%5E%28n-k%29b%5Ek%2C0%2Cn%29, where C%28n%2Ck%29=n%21%2F%28%28n-k%29%21k%21%29 and n%21=1%2A2*…*n.

Now, calculate the product for every value of k from 0 to 8.
k=0:
k=1:
k=2:
so, your answer is+1792x%5E12