Divide (-18a+6a^2)/(-3a)

$\frac{- 18 a + 6 a^{2}}{- 3 a}$

Step 1

Factor $6 a$ out of $- 18 a + 6 a^{2}$ .

Factor $6 a$ out of $- 18 a$ .

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

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

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

Factor $6 a$ out of $6 a (- 3) + 6 a (a)$ .

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

Step 2

Cancel the common factor of $6$ and $- 3$ .

Factor $3$ out of $6 a (- 3 + a)$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $a$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{2 (- 3 + a)}{- 1}$

Move the negative one from the denominator of $\frac{2 (- 3 + a)}{- 1}$ .

$- 1 \cdot (2 (- 3 + a))$

Step 4

Rewrite $- 1 \cdot (2 (- 3 + a))$ as $- (2 (- 3 + a))$ .

$- (2 (- 3 + a))$

Step 5

Apply the distributive property.

$- (2 \cdot - 3 + 2 a)$

Step 6

Multiply $2$ by $- 3$ .

$- (- 6 + 2 a)$

Step 7

Apply the distributive property.

$- - 6 - (2 a)$

Step 8

Multiply $- 1$ by $- 6$ .

$6 - (2 a)$

Step 9

Multiply $2$ by $- 1$ .

$6 - 2 a$

Divide (-18a+6a^2)/(-3a)

Related Questions

Support LCMGCF.com by disabling your adblocker.