(x^(1/2) + y^(1/2))^2 - 2x^(1/2) * y^(1/2)
Раскроем скобки:
(x^(1/2) + y^(1/2)) (x^(1/2) + y^(1/2)) - 2x^(1/2) y^(1/2)
x x^(1/2) + x y^(1/2) + y x^(1/2) + y y^(1/2) - 2x^(1/2) * y^(1/2)
x^(3/2) + x y^(1/2) + x y^(1/2) + y - 2x^(1/2) * y^(1/2)
x^(3/2) + 2xy^(1/2) + y - 2x^(1/2) * y^(1/2)
Поэтоту формулу невозможно упростить дальше.
(x^(1/2) + y^(1/2))^2 - 2x^(1/2) * y^(1/2)
Раскроем скобки:
(x^(1/2) + y^(1/2)) (x^(1/2) + y^(1/2)) - 2x^(1/2) y^(1/2)
x x^(1/2) + x y^(1/2) + y x^(1/2) + y y^(1/2) - 2x^(1/2) * y^(1/2)
x^(3/2) + x y^(1/2) + x y^(1/2) + y - 2x^(1/2) * y^(1/2)
x^(3/2) + 2xy^(1/2) + y - 2x^(1/2) * y^(1/2)
Поэтоту формулу невозможно упростить дальше.