Выполни умножение: (8−1)⋅(8+1)⋅(8²+1)⋅(8⁴+1)⋅(8⁸+1)−81¹⁶+46 .. Created by smeshok324. algebra-ru

Выполни умножение: (8−1)⋅(8+1)⋅(8²+1)⋅(8⁴+1)⋅(8⁸+1)−81¹⁶+46...

smeshok324 @smeshok324

July 2022 1 4 Report

Выполни умножение: (8−1)⋅(8+1)⋅(8²+1)⋅(8⁴+1)⋅(8⁸+1)−81¹⁶+46 .

Answers & Comments

Trey55

Verified answer

Ответ:

45.

Объяснение:

$(8-1)(8+1)(8^{2}+1)(8^{4}+1)(8^{8}+1)-8^{16}+46=\\=(8^{2}-1)(8^{2}+1)(8^{4}+1)(8^{8}+1)-8^{16}+46=\\=(8^{4}-1)(8^{4}+1)(8^{8}+1)-8^{16}+46=\\(8^{8}-1)(8^{8}+1)-8^{16}+46=\\=(8^{16}-1)-8^{16}+46=46-1=45$

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