Simplify (3a^2-24a)/(3a^2+12a)

$\frac{3 a^{2} - 24 a}{3 a^{2} + 12 a}$

Step 1

Factor $3 a$ out of $3 a^{2} - 24 a$ .

Factor $3 a$ out of $3 a^{2}$ .

$\frac{3 a (a) - 24 a}{3 a^{2} + 12 a}$

Factor $3 a$ out of $- 24 a$ .

$\frac{3 a (a) + 3 a (- 8)}{3 a^{2} + 12 a}$

Factor $3 a$ out of $3 a (a) + 3 a (- 8)$ .

$\frac{3 a (a - 8)}{3 a^{2} + 12 a}$

$\frac{3 a (a - 8)}{3 a^{2} + 12 a}$

Step 2

Factor $3 a$ out of $3 a^{2} + 12 a$ .

Factor $3 a$ out of $3 a^{2}$ .

$\frac{3 a (a - 8)}{3 a (a) + 12 a}$

Factor $3 a$ out of $12 a$ .

$\frac{3 a (a - 8)}{3 a (a) + 3 a (4)}$

Factor $3 a$ out of $3 a (a) + 3 a (4)$ .

$\frac{3 a (a - 8)}{3 a (a + 4)}$

$\frac{3 a (a - 8)}{3 a (a + 4)}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 a (a - 8)}{3 a (a + 4)}$

Rewrite the expression.

$\frac{a (a - 8)}{a (a + 4)}$

$\frac{a (a - 8)}{a (a + 4)}$

Step 4

Cancel the common factor of $a$ .

Cancel the common factor.

$\frac{a (a - 8)}{a (a + 4)}$

Rewrite the expression.

$\frac{a - 8}{a + 4}$

$\frac{a - 8}{a + 4}$

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