Finite Math Examples

$\frac{- 28 x^{3} + 24 x^{4}}{8 x^{4}}$

Step 1

Factor $4 x^{3}$ out of $- 28 x^{3} + 24 x^{4}$ .

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Step 1.1

Factor $4 x^{3}$ out of $- 28 x^{3}$ .

$\frac{4 x^{3} (- 7) + 24 x^{4}}{8 x^{4}}$

Step 1.2

Factor $4 x^{3}$ out of $24 x^{4}$ .

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

Step 1.3

Factor $4 x^{3}$ out of $4 x^{3} (- 7) + 4 x^{3} (6 x)$ .

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

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

Step 2

Cancel the common factor of $4$ and $8$ .

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Step 2.1

Factor $4$ out of $4 x^{3} (- 7 + 6 x)$ .

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

Step 2.2

Cancel the common factors.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

Cancel the common factors.

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Step 3.1

Factor $x^{3}$ out of $2 x^{4}$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{- 7 + 6 x}{2 x}$

$\frac{- 7 + 6 x}{2 x}$

Step 4

Rewrite $- 7$ as $- 1 (7)$ .

$\frac{- 1 (7) + 6 x}{2 x}$

Step 5

Factor $- 1$ out of $6 x$ .

$\frac{- 1 (7) - (- 6 x)}{2 x}$

Step 6

Factor $- 1$ out of $- 1 (7) - (- 6 x)$ .

$\frac{- 1 (7 - 6 x)}{2 x}$

Step 7

Move the negative in front of the fraction.

$- \frac{7 - 6 x}{2 x}$

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