Precalculus Examples

$\frac{18 x^{2} - 3 x}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 1

Factor $3 x$ out of $18 x^{2} - 3 x$ .

Tap for more steps...

Step 1.1

Factor $3 x$ out of $18 x^{2}$ .

$\frac{3 x (6 x) - 3 x}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 1.2

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

$\frac{3 x (6 x) + 3 x (- 1)}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 1.3

Factor $3 x$ out of $3 x (6 x) + 3 x (- 1)$ .

$\frac{3 x (6 x - 1)}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 2

Cancel the common factor of $6 x - 1$ .

Tap for more steps...

Step 2.1

Factor $6 x - 1$ out of $3 x (6 x - 1)$ .

$\frac{(6 x - 1) (3 x)}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 2.2

Cancel the common factor.

$\frac{(6 x - 1) (3 x)}{3 x y} \cdot \frac{12 y^{2}}{6 x - 1}$

Step 2.3

Rewrite the expression.

$\frac{3 x}{3 x y} \cdot (12 y^{2})$

Step 3

Cancel the common factor of $3 y$ .

Tap for more steps...

Step 3.1

Factor $3 y$ out of $3 x y$ .

$\frac{3 x}{3 y (x)} \cdot (12 y^{2})$

Step 3.2

Factor $3 y$ out of $12 y^{2}$ .

$\frac{3 x}{3 y (x)} \cdot (3 y (4 y))$

Step 3.3

Cancel the common factor.

$\frac{3 x}{3 y x} \cdot (3 y (4 y))$

Step 3.4

Rewrite the expression.

$\frac{3 x}{x} \cdot (4 y)$

Step 4

Combine $4$ and $\frac{3 x}{x}$ .

$\frac{4 (3 x)}{x} \cdot y$

Step 5

Multiply $3$ by $4$ .

$\frac{12 x}{x} \cdot y$

Step 6

Combine $\frac{12 x}{x}$ and $y$ .

$\frac{12 x y}{x}$

Step 7

Cancel the common factor of $x$ .

Tap for more steps...

Step 7.1

Cancel the common factor.

$\frac{12 x y}{x}$

Step 7.2

Divide $12 y$ by $1$ .

$12 y$