(2² - 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2⁴ - 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) =
= (2⁸ - 1)(2⁸ + 1)(2¹⁶ + 1) = (2¹⁶ - 1)(2¹⁶ + 1) = 2³² - 1
2³² - 1 = 2³² - 1
Что и требовалось доказать
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
(2² - 1)(2² + 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) = (2⁴ - 1)(2⁴ + 1)(2⁸ + 1)(2¹⁶ + 1) =
= (2⁸ - 1)(2⁸ + 1)(2¹⁶ + 1) = (2¹⁶ - 1)(2¹⁶ + 1) = 2³² - 1
2³² - 1 = 2³² - 1
Что и требовалось доказать