Pre-Algebra Examples

$\frac{4 x^{2} - 14 x}{2 x^{2} - 16 x}$

Step 1

Factor $2 x$ out of $4 x^{2} - 14 x$ .

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Step 1.1

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

$\frac{2 x (2 x) - 14 x}{2 x^{2} - 16 x}$

Step 1.2

Factor $2 x$ out of $- 14 x$ .

$\frac{2 x (2 x) + 2 x (- 7)}{2 x^{2} - 16 x}$

Step 1.3

Factor $2 x$ out of $2 x (2 x) + 2 x (- 7)$ .

$\frac{2 x (2 x - 7)}{2 x^{2} - 16 x}$

$\frac{2 x (2 x - 7)}{2 x^{2} - 16 x}$

Step 2

Factor $2 x$ out of $2 x^{2} - 16 x$ .

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Step 2.1

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

$\frac{2 x (2 x - 7)}{2 x (x) - 16 x}$

Step 2.2

Factor $2 x$ out of $- 16 x$ .

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

Step 2.3

Factor $2 x$ out of $2 x (x) + 2 x (- 8)$ .

$\frac{2 x (2 x - 7)}{2 x (x - 8)}$

$\frac{2 x (2 x - 7)}{2 x (x - 8)}$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Cancel the common factor.

$\frac{2 x (2 x - 7)}{2 x (x - 8)}$

Step 3.2

Rewrite the expression.

$\frac{x (2 x - 7)}{x (x - 8)}$

$\frac{x (2 x - 7)}{x (x - 8)}$

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

$\frac{x (2 x - 7)}{x (x - 8)}$

Step 4.2

Rewrite the expression.

$\frac{2 x - 7}{x - 8}$

$\frac{2 x - 7}{x - 8}$

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