Finite Math Examples

$\frac{- 16 x^{7} + 12 x^{8}}{6 x^{8}}$

Step 1

Factor $4 x^{7}$ out of $- 16 x^{7} + 12 x^{8}$ .

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Step 1.1

Factor $4 x^{7}$ out of $- 16 x^{7}$ .

$\frac{4 x^{7} (- 4) + 12 x^{8}}{6 x^{8}}$

Step 1.2

Factor $4 x^{7}$ out of $12 x^{8}$ .

$\frac{4 x^{7} (- 4) + 4 x^{7} (3 x)}{6 x^{8}}$

Step 1.3

Factor $4 x^{7}$ out of $4 x^{7} (- 4) + 4 x^{7} (3 x)$ .

$\frac{4 x^{7} (- 4 + 3 x)}{6 x^{8}}$

$\frac{4 x^{7} (- 4 + 3 x)}{6 x^{8}}$

Step 2

Cancel the common factor of $4$ and $6$ .

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Step 2.1

Factor $2$ out of $4 x^{7} (- 4 + 3 x)$ .

$\frac{2 (2 x^{7} (- 4 + 3 x))}{6 x^{8}}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $6 x^{8}$ .

$\frac{2 (2 x^{7} (- 4 + 3 x))}{2 (3 x^{8})}$

Step 2.2.2

Cancel the common factor.

$\frac{2 (2 x^{7} (- 4 + 3 x))}{2 (3 x^{8})}$

Step 2.2.3

Rewrite the expression.

$\frac{2 x^{7} (- 4 + 3 x)}{3 x^{8}}$

$\frac{2 x^{7} (- 4 + 3 x)}{3 x^{8}}$

$\frac{2 x^{7} (- 4 + 3 x)}{3 x^{8}}$

Step 3

Cancel the common factor of $x^{7}$ and $x^{8}$ .

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Step 3.1

Factor $x^{7}$ out of $2 x^{7} (- 4 + 3 x)$ .

$\frac{x^{7} (2 (- 4 + 3 x))}{3 x^{8}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $x^{7}$ out of $3 x^{8}$ .

$\frac{x^{7} (2 (- 4 + 3 x))}{x^{7} (3 x)}$

Step 3.2.2

Cancel the common factor.

$\frac{x^{7} (2 (- 4 + 3 x))}{x^{7} (3 x)}$

Step 3.2.3

Rewrite the expression.

$\frac{2 (- 4 + 3 x)}{3 x}$

$\frac{2 (- 4 + 3 x)}{3 x}$

$\frac{2 (- 4 + 3 x)}{3 x}$

Step 4

Rewrite $- 4$ as $- 1 (4)$ .

$\frac{2 (- 1 (4) + 3 x)}{3 x}$

Step 5

Factor $- 1$ out of $3 x$ .

$\frac{2 (- 1 (4) - (- 3 x))}{3 x}$

Step 6

Factor $- 1$ out of $- 1 (4) - (- 3 x)$ .

$\frac{2 (- 1 (4 - 3 x))}{3 x}$

Step 7

Move the negative in front of the fraction.

$- \frac{2 (4 - 3 x)}{3 x}$

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