Exercise
$\frac{\left(\sqrt[4]{x}+\sqrt[4]{y}\right)^2-\left(\sqrt[4]{x}-\sqrt[4]{y}\right)^2}{\sqrt[4]{xy}}$
Step-by-step Solution
Learn how to solve problems step by step online. Simplify the expression ((x^(1/4)+y^(1/4))^2-(x^(1/4)-y^(1/4))^2)/((xy)^(1/4)). The power of a product is equal to the product of it's factors raised to the same power. Expand \left(\sqrt{y}\right)^2. Simplify the product -(\sqrt{x}-2\sqrt{y}+\sqrt{y}). Simplify the product -(-2\sqrt{y}+\sqrt{y}).
Simplify the expression ((x^(1/4)+y^(1/4))^2-(x^(1/4)-y^(1/4))^2)/((xy)^(1/4))
Final answer to the exercise
$4$