Pre-Algebra Examples

$\frac{12 x^{3} + 16 x^{2} - 20 x - 28}{4}$

Step 1

Factor $4$ out of $12 x^{3}$ .

$\frac{4 (3 x^{3}) + 16 x^{2} - 20 x - 28}{4}$

Step 2

Factor $4$ out of $16 x^{2}$ .

$\frac{4 (3 x^{3}) + 4 (4 x^{2}) - 20 x - 28}{4}$

Step 3

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

$\frac{4 (3 x^{3} + 4 x^{2}) - 20 x - 28}{4}$

Step 4

Factor $4$ out of $- 20 x$ .

$\frac{4 (3 x^{3} + 4 x^{2}) + 4 (- 5 x) - 28}{4}$

Step 5

Factor $4$ out of $4 (3 x^{3} + 4 x^{2}) + 4 (- 5 x)$ .

$\frac{4 (3 x^{3} + 4 x^{2} - 5 x) - 28}{4}$

Step 6

Factor $4$ out of $- 28$ .

$\frac{4 (3 x^{3} + 4 x^{2} - 5 x) + 4 \cdot - 7}{4}$

Step 7

Factor $4$ out of $4 (3 x^{3} + 4 x^{2} - 5 x) + 4 (- 7)$ .

$\frac{4 (3 x^{3} + 4 x^{2} - 5 x - 7)}{4}$

Step 8

Cancel the common factors.

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Step 8.1

Factor $4$ out of $4$ .

$\frac{4 (3 x^{3} + 4 x^{2} - 5 x - 7)}{4 (1)}$

Step 8.2

Cancel the common factor.

$\frac{4 (3 x^{3} + 4 x^{2} - 5 x - 7)}{4 \cdot 1}$

Step 8.3

Rewrite the expression.

$\frac{3 x^{3} + 4 x^{2} - 5 x - 7}{1}$

Step 8.4

Divide $3 x^{3} + 4 x^{2} - 5 x - 7$ by $1$ .

$3 x^{3} + 4 x^{2} - 5 x - 7$