Algebra Examples

$\frac{5 x - 15 x^{2}}{2 - 6 x}$

Step 1

Factor $5 x$ out of $5 x - 15 x^{2}$ .

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Step 1.1

Factor $5 x$ out of $5 x$ .

$\frac{5 x (1) - 15 x^{2}}{2 - 6 x}$

Step 1.2

Factor $5 x$ out of $- 15 x^{2}$ .

$\frac{5 x (1) + 5 x (- 3 x)}{2 - 6 x}$

Step 1.3

Factor $5 x$ out of $5 x (1) + 5 x (- 3 x)$ .

$\frac{5 x (1 - 3 x)}{2 - 6 x}$

$\frac{5 x (1 - 3 x)}{2 - 6 x}$

Step 2

Factor $2$ out of $2 - 6 x$ .

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Step 2.1

Factor $2$ out of $2$ .

$\frac{5 x (1 - 3 x)}{2 (1) - 6 x}$

Step 2.2

Factor $2$ out of $- 6 x$ .

$\frac{5 x (1 - 3 x)}{2 (1) + 2 (- 3 x)}$

Step 2.3

Factor $2$ out of $2 (1) + 2 (- 3 x)$ .

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

Step 3

Cancel the common factor of $1 - 3 x$ .

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Step 3.1

Cancel the common factor.

$\frac{5 x (1 - 3 x)}{2 (1 - 3 x)}$

Step 3.2

Rewrite the expression.

$\frac{5 x}{2}$

$\frac{5 x}{2}$

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