a.math ( binomial theorem)

2006-11-06 5:37 am
a) Show that the sum of the coefficients in the expansion of (a+b)^n is 2^n
b) If the sum of the coefficient in the expansion of [ 1/ (^3√x) +x√x}^n is 256, find the coefficient of x in the expansion

i would like to have the complete solution of the above questions,thanks a lot.

回答 (1)

2006-11-06 7:52 am
✔ 最佳答案
a) (a+b)^n = a^n+(nC1)*(a^n-1)*(b)+.....+(nCn-1)(a)(b^n-1)+b^n
put a=1,b=1,
then
2^n= 1 + (nC1) + ....+ (nCn-1) + 1 = the sum of the coefficients

b) are you mis type something?? what is (^3√x) ??


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