Сократите дробь х-у/х^1/2-у^1/2

Question

Сократите дробь х-у/х^1/2-у^1/2

Answer 1

Решение
х-у/х^1/2-у^1/2 = [(x¹/²)² - (y¹/²)²] / (x¹/² - y¹/²) =
= [(x¹/² - y¹/²)*(x¹/² + y¹/²)] / (x¹/² - y¹/²) = x¹/² + y¹/²