Pre-Algebra Examples

$\frac{- 9 x^{3} + 3 x^{2} - 15 x}{- 3 x}$

Step 1

Factor $3 x$ out of $- 9 x^{3} + 3 x^{2} - 15 x$ .

Tap for more steps...

Step 1.1

Factor $3 x$ out of $- 9 x^{3}$ .

$\frac{3 x (- 3 x^{2}) + 3 x^{2} - 15 x}{- 3 x}$

Step 1.2

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

$\frac{3 x (- 3 x^{2}) + 3 x (x) - 15 x}{- 3 x}$

Step 1.3

Factor $3 x$ out of $- 15 x$ .

$\frac{3 x (- 3 x^{2}) + 3 x (x) + 3 x (- 5)}{- 3 x}$

Step 1.4

Factor $3 x$ out of $3 x (- 3 x^{2}) + 3 x (x)$ .

$\frac{3 x (- 3 x^{2} + x) + 3 x (- 5)}{- 3 x}$

Step 1.5

Factor $3 x$ out of $3 x (- 3 x^{2} + x) + 3 x (- 5)$ .

$\frac{3 x (- 3 x^{2} + x - 5)}{- 3 x}$

Step 2

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

Tap for more steps...

Step 2.1

Factor $3$ out of $3 x (- 3 x^{2} + x - 5)$ .

$\frac{3 (x (- 3 x^{2} + x - 5))}{- 3 x}$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $3$ out of $- 3 x$ .

$\frac{3 (x (- 3 x^{2} + x - 5))}{3 (- x)}$

Step 2.2.2

Cancel the common factor.

$\frac{3 (x (- 3 x^{2} + x - 5))}{3 (- x)}$

Step 2.2.3

Rewrite the expression.

$\frac{x (- 3 x^{2} + x - 5)}{- x}$

Step 3

Cancel the common factor of $x$ .

Tap for more steps...

Step 3.1

Cancel the common factor.

$\frac{x (- 3 x^{2} + x - 5)}{- x}$

Step 3.2

Rewrite the expression.

$\frac{- 3 x^{2} + x - 5}{- 1}$

Step 3.3

Move the negative one from the denominator of $\frac{- 3 x^{2} + x - 5}{- 1}$ .

$- 1 \cdot (- 3 x^{2} + x - 5)$

Step 4

Rewrite $- 1 \cdot (- 3 x^{2} + x - 5)$ as $- (- 3 x^{2} + x - 5)$ .

$- (- 3 x^{2} + x - 5)$

Step 5

Apply the distributive property.

$- (- 3 x^{2}) - x - - 5$

Step 6

Simplify.

Tap for more steps...

Step 6.1

Multiply $- 3$ by $- 1$ .

$3 x^{2} - x - - 5$

Step 6.2

Multiply $- 1$ by $- 5$ .

$3 x^{2} - x + 5$