Algebra Examples

$7 (\sqrt[3]{2 x}) - 3 \sqrt[3]{16 x} - 3 \sqrt[3]{8 x}$

Step 1

Simplify each term.

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Step 1.1

Rewrite $16 x$ as $2^{3} \cdot (2 x)$ .

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Step 1.1.1

Factor $8$ out of $16$ .

$7 \sqrt[3]{2 x} - 3 \sqrt[3]{8 (2) x} - 3 \sqrt[3]{8 x}$

Step 1.1.2

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

$7 \sqrt[3]{2 x} - 3 \sqrt[3]{2^{3} \cdot 2 x} - 3 \sqrt[3]{8 x}$

Step 1.1.3

Add parentheses.

$7 \sqrt[3]{2 x} - 3 \sqrt[3]{2^{3} \cdot (2 x)} - 3 \sqrt[3]{8 x}$

Step 1.2

Pull terms out from under the radical.

$7 \sqrt[3]{2 x} - 3 (2 \sqrt[3]{2 x}) - 3 \sqrt[3]{8 x}$

Step 1.3

Multiply $2$ by $- 3$ .

$7 \sqrt[3]{2 x} - 6 \sqrt[3]{2 x} - 3 \sqrt[3]{8 x}$

Step 1.4

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

$7 \sqrt[3]{2 x} - 6 \sqrt[3]{2 x} - 3 \sqrt[3]{2^{3} x}$

Step 1.5

Pull terms out from under the radical.

$7 \sqrt[3]{2 x} - 6 \sqrt[3]{2 x} - 3 (2 \sqrt[3]{x})$

Step 1.6

Multiply $2$ by $- 3$ .

$7 \sqrt[3]{2 x} - 6 \sqrt[3]{2 x} - 6 \sqrt[3]{x}$

Step 2

Subtract $6 \sqrt[3]{2 x}$ from $7 \sqrt[3]{2 x}$ .

$\sqrt[3]{2 x} - 6 \sqrt[3]{x}$