Simplify (x-6)/(x-1)*(5x^2-5x)/(x-6)

$\frac{x - 6}{x - 1} \cdot \frac{5 x^{2} - 5 x}{x - 6}$

Factor $5 x$ out of $5 x^{2} - 5 x$ .

Factor $5 x$ out of $5 x^{2}$ .

$\frac{x - 6}{x - 1} \cdot \frac{5 x (x) - 5 x}{x - 6}$

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

$\frac{x - 6}{x - 1} \cdot \frac{5 x (x) + 5 x (- 1)}{x - 6}$

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

$\frac{x - 6}{x - 1} \cdot \frac{5 x (x - 1)}{x - 6}$

Cancel the common factor of $x - 6$ .

Cancel the common factor.

$\frac{x - 6}{x - 1} \cdot \frac{5 x (x - 1)}{x - 6}$

Rewrite the expression.

$\frac{1}{x - 1} \cdot (5 x (x - 1))$

Cancel the common factor of $x - 1$ .

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

$\frac{1}{x - 1} \cdot ((x - 1) (5 x))$

Cancel the common factor.

$\frac{1}{x - 1} \cdot ((x - 1) (5 x))$

Rewrite the expression.

$5 x$