Пожалуйста помогите решить...... Created by Summ6r. algebra-ru

Пожалуйста помогите решить...

March 2022 1 23 Report

Пожалуйста помогите решить.....

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nKrynka Решение
1) (b - b⁻¹/²) / (1 - b⁻¹/²) = (b - 1/b¹/²) / (1 - b¹/²) = (b³/² - 1) / (b¹/² - 1) =
= [(b¹/²)³ - 1] /  (b¹/² - 1) = [(b¹/² - 1) * (b + b¹/² + 1)] /  (b¹/² - 1) =
= b + b¹/² + 1
2)   (b + b⁻¹/²) / (1 + b⁻¹/²) = (b + 1/b¹/²) / (1 + b¹/²) = (b³/² + 1) / (b¹/² + 1) =
= [(b¹/²)³ + 1] /  (b¹/² + 1) = [(b¹/² + 1) * (b - b¹/² + 1)] /  (b¹/² + 1) =
= b - b¹/² + 1
3) b + b¹/² + 1 - b + b¹/² - 1 = 2*b¹/²
4) 2b¹/² * (b⁻¹/² / 2) + 7 = 1 + 7 = 8
5) 8¹/³ = (2³)¹/³ = 2

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