中六數統二項展式一問

2009-10-07 6:55 pm
(2X–3/x^2)^9

~求與X無關的項

請解答,THX

回答 (2)

2009-10-07 7:59 pm
✔ 最佳答案
The general term, Tn+1 = 9Cn (2x)9-n(-3/x2)n
= 9Cn (2)9-n(-3)n x9-n-2n
= 9Cn (2)9-n(-3)n x9-3n
For the term without the term x or its higher power,
9 - 3n = 0
n = 3
Therefore, the required term = 9C3 (2)9-3(-3)3
= -145 152
參考: Physics king
2009-10-07 8:59 pm
感謝~~解答非常詳盡


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