Basic Math Examples

$(16 \sqrt{3} - 16) \cdot p \cdot \frac{32}{3}$

Step 1

Apply the distributive property.

$(16 \sqrt{3} p - 16 p) \cdot \frac{32}{3}$

Step 2

Apply the distributive property.

$16 \sqrt{3} p \frac{32}{3} - 16 p \frac{32}{3}$

Step 3

Multiply

$16 \sqrt{3} p \frac{32}{3}$ .

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Step 3.1

Combine

$16$ and

$\frac{32}{3}$ .

$\sqrt{3} p \frac{16 \cdot 32}{3} - 16 p \frac{32}{3}$

Step 3.2

Multiply

$16$ by

$32$ .

$\sqrt{3} p \frac{512}{3} - 16 p \frac{32}{3}$

Step 3.3

Combine

$\sqrt{3}$ and

$\frac{512}{3}$ .

$p \frac{\sqrt{3} \cdot 512}{3} - 16 p \frac{32}{3}$

Step 3.4

Combine

$p$ and

$\frac{\sqrt{3} \cdot 512}{3}$ .

$\frac{p (\sqrt{3} \cdot 512)}{3} - 16 p \frac{32}{3}$

Step 4

Multiply

$- 16 p \frac{32}{3}$ .

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Step 4.1

Combine

$- 16$ and

$\frac{32}{3}$ .

$\frac{p (\sqrt{3} \cdot 512)}{3} + p \frac{- 16 \cdot 32}{3}$

Step 4.2

Multiply

$- 16$ by

$32$ .

$\frac{p (\sqrt{3} \cdot 512)}{3} + p \frac{- 512}{3}$

Step 4.3

Combine

$p$ and

$\frac{- 512}{3}$ .

$\frac{p (\sqrt{3} \cdot 512)}{3} + \frac{p \cdot - 512}{3}$

Step 5

Simplify each term.

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Step 5.1

Move

$512$ to the left of

$p \sqrt{3}$ .

$\frac{512 \cdot (p \sqrt{3})}{3} + \frac{p \cdot - 512}{3}$

Step 5.2

Move

$- 512$ to the left of

$p$ .

$\frac{512 p \sqrt{3}}{3} + \frac{- 512 \cdot p}{3}$

Step 5.3

Move the negative in front of the fraction.

$\frac{512 p \sqrt{3}}{3} - \frac{512 p}{3}$