Calculus Examples

$p {(\frac{20}{p})}^{2} (20)$

Step 1

Simplify the expression.

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Step 1.1

Apply the product rule to $\frac{20}{p}$ .

$p \frac{20^{2}}{p^{2}} \cdot 20$

Step 1.2

Raise $20$ to the power of $2$ .

$p \frac{400}{p^{2}} \cdot 20$

$p \frac{400}{p^{2}} \cdot 20$

Step 2

Cancel the common factor of $p$ .

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Step 2.1

Factor $p$ out of $p^{2}$ .

$p \frac{400}{p \cdot p} \cdot 20$

Step 2.2

Cancel the common factor.

$p \frac{400}{p \cdot p} \cdot 20$

Step 2.3

Rewrite the expression.

$\frac{400}{p} \cdot 20$

$\frac{400}{p} \cdot 20$

Step 3

Multiply $\frac{400}{p} \cdot 20$ .

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Step 3.1

Combine $\frac{400}{p}$ and $20$ .

$\frac{400 \cdot 20}{p}$

Step 3.2

Multiply $400$ by $20$ .

$\frac{8000}{p}$

$\frac{8000}{p}$

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