Pre-Algebra Examples

$\frac{81 x^{3} + 27 x^{2} - 36 x - 72}{9}$

Step 1

Factor $9$ out of $81 x^{3}$ .

$\frac{9 (9 x^{3}) + 27 x^{2} - 36 x - 72}{9}$

Step 2

Factor $9$ out of $27 x^{2}$ .

$\frac{9 (9 x^{3}) + 9 (3 x^{2}) - 36 x - 72}{9}$

Step 3

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

$\frac{9 (9 x^{3} + 3 x^{2}) - 36 x - 72}{9}$

Step 4

Factor $9$ out of $- 36 x$ .

$\frac{9 (9 x^{3} + 3 x^{2}) + 9 (- 4 x) - 72}{9}$

Step 5

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

$\frac{9 (9 x^{3} + 3 x^{2} - 4 x) - 72}{9}$

Step 6

Factor $9$ out of $- 72$ .

$\frac{9 (9 x^{3} + 3 x^{2} - 4 x) + 9 \cdot - 8}{9}$

Step 7

Factor $9$ out of $9 (9 x^{3} + 3 x^{2} - 4 x) + 9 (- 8)$ .

$\frac{9 (9 x^{3} + 3 x^{2} - 4 x - 8)}{9}$

Step 8

Cancel the common factors.

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Step 8.1

Factor $9$ out of $9$ .

$\frac{9 (9 x^{3} + 3 x^{2} - 4 x - 8)}{9 (1)}$

Step 8.2

Cancel the common factor.

$\frac{9 (9 x^{3} + 3 x^{2} - 4 x - 8)}{9 \cdot 1}$

Step 8.3

Rewrite the expression.

$\frac{9 x^{3} + 3 x^{2} - 4 x - 8}{1}$

Step 8.4

Divide $9 x^{3} + 3 x^{2} - 4 x - 8$ by $1$ .

$9 x^{3} + 3 x^{2} - 4 x - 8$