Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Question on Pascal's Triangle and the binomial theorem?
1. Find the constant term in the expansion of (x^2 - 1/x)^6
1 Answer
- MathMan TGLv 79 years agoFavorite Answer
The coefficients are
1 6 15 20 15 6 1
x^2 ^ 0 ... 1/x^6 ... 1 * x^-6
x^2 ^ 1 ... -1/x^5 ... - 6 * x^-3
x^2 ^ 2 ... 1/x^4 ... + 15 * x^0 ← Constant term, only one where x's cancel completely
x^2 ^3 .... -1/x^3 .. - 20 x^3
x^2 ^4 .... 1/x^2 ... + 15 x^6
x^2 ^5 .... -1/x^1 ... - 6 x^9
x^2 ^6 .... -1/x^0 ...+ x^12
(more commonly read from bottom up)