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
can somebody factor this x^32-1?
hi i was wondering if somebody could take me step by step on how to answer this question. much appreciated
1 Answer
- RobertLv 61 decade agoFavorite Answer
You have the difference of two squares, so
(x^16 + 1)(x^16 - 1)
The second term is the difference of two squares, so
(X^16 + 1)(x^8 + 1)(x^8 - 1)
The third term is the difference of two squares, so
(X^16 + 1)(x^8 + 1)(x^4 + 1)(x^4 - 1)
The fourth term is the difference of two squares, so
(X^16 + 1)(x^8 + 1)(x^4 + 1)(x^2 + 1)(x^2 - 1)
The fifth term is the difference of two squares, so we finally get
(X^16 + 1)(x^8 + 1)(x^4 + 1)(x^2 + 1)(x + 1)(x - 1) = x^32 - 1
