Basic Math Examples

$8 y \sqrt[3]{z y} - 4 y \sqrt[3]{27 z y}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $27 z y$ as $3^{3} (z y)$ .

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Step 1.1.1

Rewrite $27$ as $3^{3}$ .

$8 y \sqrt[3]{z y} - 4 y \sqrt[3]{3^{3} z y}$

Step 1.1.2

Add parentheses.

$8 y \sqrt[3]{z y} - 4 y \sqrt[3]{3^{3} (z y)}$

Step 1.2

Pull terms out from under the radical.

$8 y \sqrt[3]{z y} - 4 y (3 \sqrt[3]{z y})$

Step 1.3

Multiply $3$ by $- 4$ .

$8 y \sqrt[3]{z y} - 12 y \sqrt[3]{z y}$

Step 2

Subtract $12 y \sqrt[3]{z y}$ from $8 y \sqrt[3]{z y}$ .

$- 4 y \sqrt[3]{z y}$