Calculus Examples

$V = p {(\frac{52}{p})}^{2} (52)$

Step 1

Multiply $p {(\frac{52}{p})}^{2}$ by $52$ .

$V = p {(\frac{52}{p})}^{2} \cdot 52$

Step 2

Simplify $p {(\frac{52}{p})}^{2} \cdot 52$ .

Tap for more steps...

Step 2.1

Simplify the expression.

Tap for more steps...

Step 2.1.1

Apply the product rule to $\frac{52}{p}$ .

$V = p \frac{52^{2}}{p^{2}} \cdot 52$

Step 2.1.2

Raise $52$ to the power of $2$ .

$V = p \frac{2704}{p^{2}} \cdot 52$

$V = p \frac{2704}{p^{2}} \cdot 52$

Step 2.2

Cancel the common factor of $p$ .

Tap for more steps...

Step 2.2.1

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

$V = p \frac{2704}{p \cdot p} \cdot 52$

Step 2.2.2

Cancel the common factor.

$V = p \frac{2704}{p \cdot p} \cdot 52$

Step 2.2.3

Rewrite the expression.

$V = \frac{2704}{p} \cdot 52$

$V = \frac{2704}{p} \cdot 52$

Step 2.3

Multiply $\frac{2704}{p} \cdot 52$ .

Tap for more steps...

Step 2.3.1

Combine $\frac{2704}{p}$ and $52$ .

$V = \frac{2704 \cdot 52}{p}$

Step 2.3.2

Multiply $2704$ by $52$ .

$V = \frac{140608}{p}$

$V = \frac{140608}{p}$

$V = \frac{140608}{p}$

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