Algebra Examples

$\sqrt[3]{8 y} - \sqrt[3]{128 y}$

Step 1

Rewrite $8$ as $2^{3}$ .

$\sqrt[3]{2^{3} y} - \sqrt[3]{128 y}$

Step 2

Pull terms out from under the radical.

$2 \sqrt[3]{y} - \sqrt[3]{128 y}$

Step 3

Rewrite $128 y$ as $4^{3} \cdot (2 y)$ .

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Step 3.1

Factor $64$ out of $128$ .

$2 \sqrt[3]{y} - \sqrt[3]{64 (2) y}$

Step 3.2

Rewrite $64$ as $4^{3}$ .

$2 \sqrt[3]{y} - \sqrt[3]{4^{3} \cdot 2 y}$

Step 3.3

Add parentheses.

$2 \sqrt[3]{y} - \sqrt[3]{4^{3} \cdot (2 y)}$

$2 \sqrt[3]{y} - \sqrt[3]{4^{3} \cdot (2 y)}$

Step 4

Pull terms out from under the radical.

$2 \sqrt[3]{y} - (4 \sqrt[3]{2 y})$

Step 5

Multiply $4$ by $- 1$ .

$2 \sqrt[3]{y} - 4 \sqrt[3]{2 y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$