Question

(x1/4+y1/4)(x1/4-y1/4)(x1/2+y1/2)=

Answer 1

Ответ:

1/32x^3-1/32y^3

Пошаговое объяснение:

Answer 2

To simplify the expression $(x^{1/4} + y^{1/4})(x^{1/4} - y^{1/4})(x^{1/2} + y^{1/2})$, you can use the difference of squares formula $(a + b)(a - b) = a^2 - b^2$. In this case:

$(x^{1/4} + y^{1/4})(x^{1/4} - y^{1/4})$ can be simplified as:

$$x^{1/4} \cdot x^{1/4} - y^{1/4} \cdot y^{1/4} = x^{1/2} - y^{1/2}$$

So, the expression becomes:

$(x^{1/2} - y^{1/2})(x^{1/2} + y^{1/2})$

Now, you can again apply the difference of squares formula:

$(x^{1/2} - y^{1/2})(x^{1/2} + y^{1/2}) = x^{1} - y^{1} = x - y$

So, the simplified expression is $x - y$.