Х-у (х¹/² -у¹/²)*(х¹/² +у¹/²)
------------- = ------------------------------- = х¹/² - у¹/²
х¹/² +у¹/² х¹/² +у¹/²
5. решение
(⁴√х +⁴√у)² - (⁴√х -⁴√у)²
------------------------------- * ( у⁻¹/²- х⁻¹/²) =
(⁴√х - ⁴√у)* (⁴√х +⁴√у)
⁴√х²+2⁴√ху +⁴√у² - (⁴√х² - 2⁴√ху +⁴√у²)
----------------------------------------------------- * ( 1/(√у) - 1/(√х)) =
(⁴√х² - ⁴√у²)
√х +2⁴√ху +√у - √х + 2⁴√ху -√у
----------------------------------------------------- * ( 1/(√у) - 1/(√х)) =
(√х - √у)
4⁴√ху (√х -√у ) 4
--------------------* ----------------- = -------------
(√х - √у) √ху ⁴√ху