What is the seventh term of (a-b)6?

1 answer

Answer

1214095

2026-04-17 21:00

+ Follow

To find the seventh term of the expansion of ((a-b)^6), we can use the Binomial Theorem, which states that the (k)-th term in the expansion of ((x+y)^n) is given by (\binom{n}{k} x^{n-k} y^k). Here, (n=6), and we want the seventh term, which corresponds to (k=6) (since the first term is (k=0)). Thus, the seventh term is (\binom{6}{6} a^{6-6} (-b)^6 = 1 \cdot a^0 \cdot (-b)^6 = -b^6). Therefore, the seventh term is (-b^6).

ReportLike(0ShareFavorite

Copyright © 2026 eLLeNow.com All Rights Reserved.