Finite Math Examples

$\frac{8}{p - 1} \div \frac{8}{2 p^{2} - 2 p}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{8}{p - 1} \cdot \frac{2 p^{2} - 2 p}{8}$

Step 2

Cancel the common factor of $8$ .

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Step 2.1

Cancel the common factor.

$\frac{8}{p - 1} \cdot \frac{2 p^{2} - 2 p}{8}$

Step 2.2

Rewrite the expression.

$\frac{1}{p - 1} (2 p^{2} - 2 p)$

$\frac{1}{p - 1} (2 p^{2} - 2 p)$

Step 3

Multiply $\frac{1}{p - 1}$ by $2 p^{2} - 2 p$ .

$\frac{2 p^{2} - 2 p}{p - 1}$

Step 4

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

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Step 4.1

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

$\frac{2 p (p) - 2 p}{p - 1}$

Step 4.2

Factor $2 p$ out of $- 2 p$ .

$\frac{2 p (p) + 2 p (- 1)}{p - 1}$

Step 4.3

Factor $2 p$ out of $2 p (p) + 2 p (- 1)$ .

$\frac{2 p (p - 1)}{p - 1}$

$\frac{2 p (p - 1)}{p - 1}$

Step 5

Cancel the common factor of $p - 1$ .

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Step 5.1

Cancel the common factor.

$\frac{2 p (p - 1)}{p - 1}$

Step 5.2

Divide $2 p$ by $1$ .

$2 p$

$2 p$

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