[TOÁN] khai triển Newton.Đang cần gấp

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nguyenbahiep1

thokhoaitay95 said:
xác định hệ số chứa x^4 của khai triển sau:

f(x)= [(x^2) - (2/x)]^m
biết tổng các hệ số của 3 số hạng đầu tiên của khai triển bằng 97 ???????????
mọi người làm giúp em vs! nhanh nha
Bấm để xem đầy đủ nội dung ...


Tổng 3 hệ số đầu tiên

[laTEX]1 - 2m + C_m^2.4 = 97 \\ \\ 1 -2m + 2m(m-1) - 97 = 0 \\ \\ m = 8 \\ \\ f(x) = (x^2 - \frac{2}{x})^8 \\ \\ C_8^k.(x^2)^{8-k}.(\frac{-2}{x})^k \\ \\ 2(8-k) -k = 4 \Rightarrow k = 4 \\ \\ he-so: C_8^4.(-2)^4[/laTEX]
 
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