Algebra Examples

$5 x (\sqrt[3]{x^{2} y}) + 2 (\sqrt[3]{x^{5} y})$

Step 1

Simplify each term.

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Step 1.1

Rewrite $x^{5} y$ as $x^{3} (x^{2} y)$ .

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Step 1.1.1

Factor out $x^{3}$ .

$5 x (\sqrt[3]{x^{2} y}) + 2 \sqrt[3]{x^{3} x^{2} y}$

Step 1.1.2

Add parentheses.

$5 x (\sqrt[3]{x^{2} y}) + 2 \sqrt[3]{x^{3} (x^{2} y)}$

Step 1.2

Pull terms out from under the radical.

$5 x (\sqrt[3]{x^{2} y}) + 2 x \sqrt[3]{x^{2} y}$

Step 2

Add $5 x (\sqrt[3]{x^{2} y})$ and $2 x \sqrt[3]{x^{2} y}$ .

$7 x \sqrt[3]{x^{2} y}$