Algebra Examples

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

Step 1

Factor $3$ out of $3 x - 6$ .

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Step 1.1

Factor $3$ out of $3 x$ .

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

Step 1.2

Factor $3$ out of $- 6$ .

$3 x^{2} \frac{3 x + 3 \cdot - 2}{x}$

Step 1.3

Factor $3$ out of $3 x + 3 \cdot - 2$ .

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

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

Step 2

Cancel the common factor of $x$ .

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Step 2.1

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

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$3 x (3 (x - 2))$

$3 x (3 (x - 2))$

Step 3

Multiply $3$ by $3$ .

$9 x (x - 2)$

Step 4

Apply the distributive property.

$9 x \cdot x + 9 x \cdot - 2$

Step 5

Multiply $x$ by $x$ by adding the exponents.

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Step 5.1

Move $x$ .

$9 (x \cdot x) + 9 x \cdot - 2$

Step 5.2

Multiply $x$ by $x$ .

$9 x^{2} + 9 x \cdot - 2$

$9 x^{2} + 9 x \cdot - 2$

Step 6

Multiply $- 2$ by $9$ .

$9 x^{2} - 18 x$

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