Simplify (a^2-6a)/(a-6)*(a+3)/a

$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$

Step 1

Factor $a$ out of $a^{2} - 6 a$ .

Factor $a$ out of $a^{2}$ .

$\frac{a \cdot a - 6 a}{a - 6} \cdot \frac{a + 3}{a}$

Factor $a$ out of $- 6 a$ .

$\frac{a \cdot a + a \cdot - 6}{a - 6} \cdot \frac{a + 3}{a}$

Factor $a$ out of $a \cdot a + a \cdot - 6$ .

$\frac{a (a - 6)}{a - 6} \cdot \frac{a + 3}{a}$

Step 2

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a (a - 6)}{a - 6} \cdot \frac{a + 3}{a}$

Rewrite the expression.

$\frac{a - 6}{a - 6} \cdot (a + 3)$

Step 3

Cancel the common factor of $a - 6$ .

Cancel the common factor.

$\frac{a - 6}{a - 6} \cdot (a + 3)$

Rewrite the expression.

$1 \cdot (a + 3)$

Step 4

Multiply $a + 3$ by $1$ .

$a + 3$