Вынести общий множитель за скобки: 1) x^1/3+x^2/3 2) y^3/4-y^2/3

Вынесем общий множитель за скобки:

1) x^ (1/3) + x^ (2/3) = x^ (1/3) + (x^ (1/3)) ^2 = x^ (1/3) + x^ (1/3) * x^ (1/3) = x^ (1/3) * (1 + x^ (1/3));

В итоге получили, x^ (1/3) + x^ (2/3) = x^ (1/3) * (1 + x^ (1/3)).

2) y^ (3/4) - y^ (2/3) = y^ (9/12) - y^ (8/12) = y^ (8/12) * y^ (1/12) - y^ (8/12) = y^ (8/12) * (y^ (1/12) - 1);

В итоге получили, y^ (3/4) - y^ (2/3) = y^ (8/12) * (y^ (1/12) - 1).