Finite Math Examples

$3 \sqrt[3]{64 n} - 3 \sqrt[3]{27 n}$

Step 1

Simplify each term.

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Step 1.1

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

$3 \sqrt[3]{4^{3} n} - 3 \sqrt[3]{27 n}$

Step 1.2

Pull terms out from under the radical.

$3 (4 \sqrt[3]{n}) - 3 \sqrt[3]{27 n}$

Step 1.3

Multiply $4$ by $3$ .

$12 \sqrt[3]{n} - 3 \sqrt[3]{27 n}$

Step 1.4

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

$12 \sqrt[3]{n} - 3 \sqrt[3]{3^{3} n}$

Step 1.5

Pull terms out from under the radical.

$12 \sqrt[3]{n} - 3 (3 \sqrt[3]{n})$

Step 1.6

Multiply $3$ by $- 3$ .

$12 \sqrt[3]{n} - 9 \sqrt[3]{n}$

$12 \sqrt[3]{n} - 9 \sqrt[3]{n}$

Step 2

Subtract $9 \sqrt[3]{n}$ from $12 \sqrt[3]{n}$ .

$3 \sqrt[3]{n}$

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