Algebra Examples

$2 x^{2} + 6 x + 8 x^{3} - 12 x^{4}$

Step 1

Factor $2 x$ out of $2 x^{2} + 6 x + 8 x^{3} - 12 x^{4}$ .

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Step 1.1

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

$2 x (x) + 6 x + 8 x^{3} - 12 x^{4}$

Step 1.2

Factor $2 x$ out of $6 x$ .

$2 x (x) + 2 x (3) + 8 x^{3} - 12 x^{4}$

Step 1.3

Factor $2 x$ out of $8 x^{3}$ .

$2 x (x) + 2 x (3) + 2 x (4 x^{2}) - 12 x^{4}$

Step 1.4

Factor $2 x$ out of $- 12 x^{4}$ .

$2 x (x) + 2 x (3) + 2 x (4 x^{2}) + 2 x (- 6 x^{3})$

Step 1.5

Factor $2 x$ out of $2 x (x) + 2 x (3)$ .

$2 x (x + 3) + 2 x (4 x^{2}) + 2 x (- 6 x^{3})$

Step 1.6

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

$2 x (x + 3 + 4 x^{2}) + 2 x (- 6 x^{3})$

Step 1.7

Factor $2 x$ out of $2 x (x + 3 + 4 x^{2}) + 2 x (- 6 x^{3})$ .

$2 x (x + 3 + 4 x^{2} - 6 x^{3})$

Step 2

Reorder terms.

$2 x (- 6 x^{3} + 4 x^{2} + x + 3)$