Question

$12 \times (11 - 1) \times (11 ^{2} + 1) \times ( {11}^{4} + 1) \times ( {11}^{8} + 1) - {11}^{16}$
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Answer 1

Ответ:

- 1.

Объяснение:

12 · (11 - 1) · (11² + 1) · (11⁴ + 1) · (11⁸ + 1) - 11¹⁶ =

= (11 + 1) · (11 - 1) · (11² + 1) · (11⁴ + 1) · (11⁸ + 1) - 11¹⁶ =

= (11² - 1) · (11² + 1) · (11⁴ + 1) · (11⁸ + 1) - 11¹⁶ =

= (11⁴ - 1) · (11⁴ + 1) · (11⁸ + 1) - 11¹⁶ =

= (11⁸ - 1) · (11⁸ + 1) - 11¹⁶ = 11¹⁶ - 1 - 11¹⁶ = - 1