Pre-Algebra Examples

$3 \sqrt[3]{27 p} - 3 \sqrt[3]{8 p}$

Step 1

Simplify each term.

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Step 1.1

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

$3 \sqrt[3]{3^{3} p} - 3 \sqrt[3]{8 p}$

Step 1.2

Pull terms out from under the radical.

$3 (3 \sqrt[3]{p}) - 3 \sqrt[3]{8 p}$

Step 1.3

Multiply $3$ by $3$ .

$9 \sqrt[3]{p} - 3 \sqrt[3]{8 p}$

Step 1.4

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

$9 \sqrt[3]{p} - 3 \sqrt[3]{2^{3} p}$

Step 1.5

Pull terms out from under the radical.

$9 \sqrt[3]{p} - 3 (2 \sqrt[3]{p})$

Step 1.6

Multiply $2$ by $- 3$ .

$9 \sqrt[3]{p} - 6 \sqrt[3]{p}$

$9 \sqrt[3]{p} - 6 \sqrt[3]{p}$

Step 2

Subtract $6 \sqrt[3]{p}$ from $9 \sqrt[3]{p}$ .

$3 \sqrt[3]{p}$

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