Algebra Examples

$(9 x^{2} - 18 x) \div 3 x$

Step 1

Rewrite the division as a fraction.

$\frac{9 x^{2} - 18 x}{3 x}$

Step 2

Factor $9 x$ out of $9 x^{2} - 18 x$ .

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Step 2.1

Factor $9 x$ out of $9 x^{2}$ .

$\frac{9 x (x) - 18 x}{3 x}$

Step 2.2

Factor $9 x$ out of $- 18 x$ .

$\frac{9 x (x) + 9 x (- 2)}{3 x}$

Step 2.3

Factor $9 x$ out of $9 x (x) + 9 x (- 2)$ .

$\frac{9 x (x - 2)}{3 x}$

$\frac{9 x (x - 2)}{3 x}$

Step 3

Cancel the common factor of $9$ and $3$ .

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Step 3.1

Factor $3$ out of $9 x (x - 2)$ .

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

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $3 x$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

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

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

Step 4

Cancel the common factor of $x$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $3 (x - 2)$ by $1$ .

$3 (x - 2)$

$3 (x - 2)$

Step 5

Apply the distributive property.

$3 x + 3 \cdot - 2$

Step 6

Multiply $3$ by $- 2$ .

$3 x - 6$

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