Question by mark zuckerberg - Discuss with MathYouLike

mark zuckerberg

19/03/2017 at 00:32

Use a simple method to compute S = (2+1)(2²+1)(2⁴+1)...(2²⁰+1).

Multiplication of Polynomial

List of answers

Phan Thanh Tinh Coordinator 23/03/2017 at 18:46

S = (2 + 1)(2² + 1)(2⁴ + 1)...(2²⁰ + 1)

= (2 - 1)(2 + 1)(2² + 1)(2⁴ + 1)...(2²⁰ + 1)

= (2² - 1)(2² + 1)(2⁴ + 1)...(2²⁰ + 1)

= (2⁴ - 1)(2⁴ + 1)...(2²⁰ + 1)

..........................................................

= (2²⁰ - 1)(2²⁰ + 1)

= 2⁴⁰ - 1
Selected by MathYouLike
FA KAKALOTS 06/02/2018 at 12:39

S = (2 + 1)(22 + 1)(24 + 1)...(220 + 1)

= (2 - 1)(2 + 1)(22 + 1)(24 + 1)...(220 + 1)

= (22 - 1)(22 + 1)(24 + 1)...(220 + 1)

= (24 - 1)(24 + 1)...(220 + 1)

..........................................................

= (220 - 1)(220 + 1)

= 240 - 1
»ﻲ2004#ﻲ« 29/03/2017 at 06:12

S = (2 + 1)(22 + 1)(24 + 1)...(220 + 1)

= (2 - 1)(2 + 1)(22 + 1)(24 + 1)...(220 + 1)

= (22 - 1)(22 + 1)(24 + 1)...(220 + 1)

= (24 - 1)(24 + 1)...(220 + 1)

= (220 - 1)(220 + 1)

= 240 - 1

Weekly ranking