Simplify (3x-3)/x*(7x^2)/(5x-5)

$\frac{3 x - 3}{x} \cdot \frac{7 x^{2}}{5 x - 5}$

Step 1

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

Factor $3$ out of $3 x$ .

$\frac{3 (x) - 3}{x} \cdot \frac{7 x^{2}}{5 x - 5}$

Factor $3$ out of $- 3$ .

$\frac{3 (x) + 3 (- 1)}{x} \cdot \frac{7 x^{2}}{5 x - 5}$

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

$\frac{3 (x - 1)}{x} \cdot \frac{7 x^{2}}{5 x - 5}$

Step 2

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

Factor $5$ out of $5 x$ .

$\frac{3 (x - 1)}{x} \cdot \frac{7 x^{2}}{5 (x) - 5}$

Factor $5$ out of $- 5$ .

$\frac{3 (x - 1)}{x} \cdot \frac{7 x^{2}}{5 (x) + 5 (- 1)}$

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

$\frac{3 (x - 1)}{x} \cdot \frac{7 x^{2}}{5 (x - 1)}$

Step 3

Combine.

$\frac{3 (x - 1) (7 x^{2})}{x (5 (x - 1))}$

Step 4

Cancel the common factor of $x - 1$ .

Cancel the common factor.

$\frac{3 (x - 1) (7 x^{2})}{x (5 (x - 1))}$

Rewrite the expression.

$\frac{3 (7 x^{2})}{x \cdot (5)}$

Step 5

Cancel the common factor of $x^{2}$ and $x$ .

Factor $x$ out of $3 (7 x^{2})$ .

$\frac{x (3 (7 x))}{x \cdot (5)}$

Cancel the common factors.

Factor $x$ out of $x \cdot (5)$ .

$\frac{x (3 (7 x))}{x (5)}$

Cancel the common factor.

$\frac{x (3 (7 x))}{x \cdot 5}$

Rewrite the expression.

$\frac{3 (7 x)}{5}$

Step 6

Multiply $3$ by $7$ .

$\frac{21 x}{5}$