Algebra Examples

$\frac{27 x^{3} + 18 x - 36}{- 9}$

Step 1

Cancel the common factor of $27 x^{3} + 18 x - 36$ and $- 9$ .

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Step 1.1

Factor $9$ out of $27 x^{3}$ .

$\frac{9 (3 x^{3}) + 18 x - 36}{- 9}$

Step 1.2

Factor $9$ out of $18 x$ .

$\frac{9 (3 x^{3}) + 9 (2 x) - 36}{- 9}$

Step 1.3

Factor $9$ out of $9 (3 x^{3}) + 9 (2 x)$ .

$\frac{9 (3 x^{3} + 2 x) - 36}{- 9}$

Step 1.4

Factor $9$ out of $- 36$ .

$\frac{9 (3 x^{3} + 2 x) + 9 (- 4)}{- 9}$

Step 1.5

Factor $9$ out of $9 (3 x^{3} + 2 x) + 9 (- 4)$ .

$\frac{9 (3 x^{3} + 2 x - 4)}{- 9}$

Step 1.6

Move the negative one from the denominator of $\frac{3 x^{3} + 2 x - 4}{- 1}$ .

$- 1 \cdot (3 x^{3} + 2 x - 4)$

Step 2

Rewrite $- 1 \cdot (3 x^{3} + 2 x - 4)$ as $- (3 x^{3} + 2 x - 4)$ .

$- (3 x^{3} + 2 x - 4)$

Step 3

Apply the distributive property.

$- (3 x^{3}) - (2 x) - - 4$

Step 4

Simplify.

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Step 4.1

Multiply $3$ by $- 1$ .

$- 3 x^{3} - (2 x) - - 4$

Step 4.2

Multiply $2$ by $- 1$ .

$- 3 x^{3} - 2 x - - 4$

Step 4.3

Multiply $- 1$ by $- 4$ .

$- 3 x^{3} - 2 x + 4$