Use the binomial formula to find the coefficient of the y^13*m term in the expansion of (y+ 2m)^14?

2016-02-24 11:21 am
更新1:

thanks

回答 (2)

2016-02-24 11:38 am
Without using the binomial:
The first one would be y^14.... coefficient 1, the same as the last one

The second one would be 14 y^13 ( 2m ) = 28 y^13.m
2016-02-24 11:27 am
2nd term of expansion = [14!/(1!13!)]y¹³(2m)¹ = 14y¹³·2m = 28y¹³m

Normally the coefficient of the second term would be 14, but since m has a coefficient of 2, the coefficient becomes 28.

https://www.flickr.com/photos/dwread/25144902601/in/dateposted-public/


收錄日期: 2021-04-18 14:42:12
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160224032145AAMXGfy

檢視 Wayback Machine 備份