Simplify x* cube root of y^6+y^2* cube root of x^3

$x \cdot \sqrt[3]{y^{6}} + y^{2} \cdot \sqrt[3]{x^{3}}$

Step 1

Simplify each term.

Rewrite $y^{6}$ as ${(y^{2})}^{3}$ .

$x \cdot \sqrt[3]{{(y^{2})}^{3}} + y^{2} \cdot \sqrt[3]{x^{3}}$

Pull terms out from under the radical, assuming real numbers.

$x \cdot y^{2} + y^{2} \cdot \sqrt[3]{x^{3}}$

Pull terms out from under the radical, assuming real numbers.

$x y^{2} + y^{2} x$

Step 2

Add $x y^{2}$ and $y^{2} x$ .

Reorder $y^{2}$ and $x$ .

$x y^{2} + x y^{2}$

Add $x y^{2}$ and $x y^{2}$ .

$2 x y^{2}$