Finite Math Examples

$\frac{7 x - 7}{3 x - 3} \cdot \frac{4 x + 4}{6 x - 6}$

Step 1

Factor $7$ out of $7 x - 7$ .

Tap for more steps...

Step 1.1

Factor $7$ out of $7 x$ .

$\frac{7 (x) - 7}{3 x - 3} \cdot \frac{4 x + 4}{6 x - 6}$

Step 1.2

Factor $7$ out of $- 7$ .

$\frac{7 (x) + 7 (- 1)}{3 x - 3} \cdot \frac{4 x + 4}{6 x - 6}$

Step 1.3

Factor $7$ out of $7 (x) + 7 (- 1)$ .

$\frac{7 (x - 1)}{3 x - 3} \cdot \frac{4 x + 4}{6 x - 6}$

Step 2

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

Tap for more steps...

Step 2.1

Factor $3$ out of $3 x$ .

$\frac{7 (x - 1)}{3 (x) - 3} \cdot \frac{4 x + 4}{6 x - 6}$

Step 2.2

Factor $3$ out of $- 3$ .

$\frac{7 (x - 1)}{3 (x) + 3 (- 1)} \cdot \frac{4 x + 4}{6 x - 6}$

Step 2.3

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

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 x + 4}{6 x - 6}$

Step 3

Factor $4$ out of $4 x + 4$ .

Tap for more steps...

Step 3.1

Factor $4$ out of $4 x$ .

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x) + 4}{6 x - 6}$

Step 3.2

Factor $4$ out of $4$ .

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x) + 4 (1)}{6 x - 6}$

Step 3.3

Factor $4$ out of $4 (x) + 4 (1)$ .

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6 x - 6}$

Step 4

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

Tap for more steps...

Step 4.1

Factor $6$ out of $6 x$ .

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6 (x) - 6}$

Step 4.2

Factor $6$ out of $- 6$ .

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6 (x) + 6 (- 1)}$

Step 4.3

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

$\frac{7 (x - 1)}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6 (x - 1)}$

Step 5

Cancel the common factor of $x - 1$ .

Tap for more steps...

Step 5.1

Factor $x - 1$ out of $7 (x - 1)$ .

$\frac{(x - 1) \cdot 7}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6 (x - 1)}$

Step 5.2

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

$\frac{(x - 1) \cdot 7}{3 (x - 1)} \cdot \frac{4 (x + 1)}{(x - 1) \cdot 6}$

Step 5.3

Cancel the common factor.

$\frac{(x - 1) \cdot 7}{3 (x - 1)} \cdot \frac{4 (x + 1)}{(x - 1) \cdot 6}$

Step 5.4

Rewrite the expression.

$\frac{7}{3 (x - 1)} \cdot \frac{4 (x + 1)}{6}$

Step 6

Multiply $\frac{7}{3 (x - 1)}$ by $\frac{4 (x + 1)}{6}$ .

$\frac{7 (4 (x + 1))}{3 (x - 1) \cdot 6}$

Step 7

Multiply.

Tap for more steps...

Step 7.1

Multiply $4$ by $7$ .

$\frac{28 (x + 1)}{3 (x - 1) \cdot 6}$

Step 7.2

Multiply $6$ by $3$ .

$\frac{28 (x + 1)}{18 (x - 1)}$

Step 8

Cancel the common factor of $28$ and $18$ .

Tap for more steps...

Step 8.1

Factor $2$ out of $28 (x + 1)$ .

$\frac{2 (14 (x + 1))}{18 (x - 1)}$

Step 8.2

Cancel the common factors.

Tap for more steps...

Step 8.2.1

Factor $2$ out of $18 (x - 1)$ .

$\frac{2 (14 (x + 1))}{2 (9 (x - 1))}$

Step 8.2.2

Cancel the common factor.

$\frac{2 (14 (x + 1))}{2 (9 (x - 1))}$

Step 8.2.3

Rewrite the expression.

$\frac{14 (x + 1)}{9 (x - 1)}$