Simplify (a^2+6a)/(ac+6c)

$\frac{a^{2} + 6 a}{a c + 6 c}$

Step 1

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

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

$\frac{a \cdot a + 6 a}{a c + 6 c}$

Factor $a$ out of $6 a$ .

$\frac{a \cdot a + a \cdot 6}{a c + 6 c}$

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

$\frac{a (a + 6)}{a c + 6 c}$

$\frac{a (a + 6)}{a c + 6 c}$

Step 2

Factor $c$ out of $a c + 6 c$ .

Factor $c$ out of $a c$ .

$\frac{a (a + 6)}{c a + 6 c}$

Factor $c$ out of $6 c$ .

$\frac{a (a + 6)}{c a + c \cdot 6}$

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

$\frac{a (a + 6)}{c (a + 6)}$

$\frac{a (a + 6)}{c (a + 6)}$

Step 3

Cancel the common factor of $a + 6$ .

Cancel the common factor.

$\frac{a (a + 6)}{c (a + 6)}$

Rewrite the expression.

$\frac{a}{c}$

$\frac{a}{c}$

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