All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Septic Factorization (Posted on 2015-06-07)
Factorize: (a+b)7 - a7 - b7

Note: For an extra challenge, solve this puzzle without the aid of a computer program or an online calculator.

 No Solution Yet Submitted by K Sengupta No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 Solution | Comment 1 of 5
By the binomial expansion:
(a+b)^7 -a^7 -b^7 = a^6b + a^5b^2 + . . .  + ab^6
= ab(a^5 + a^4b + . . .  +b^5)
= ab(a + b)^5

Not a computer in sight!

 Posted by JayDeeKay on 2015-06-07 15:52:11
Please log in:
 Login: Password: Remember me: Sign up! | Forgot password

 Search: Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2019 by Animus Pactum Consulting. All rights reserved. Privacy Information