Basic Math Examples

$56 y^{3} + 42 y^{2} - 168 y - 126$

Step 1

Factor $14$ out of $56 y^{3} + 42 y^{2} - 168 y - 126$ .

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Step 1.1

Factor $14$ out of $56 y^{3}$ .

$14 (4 y^{3}) + 42 y^{2} - 168 y - 126$

Step 1.2

Factor $14$ out of $42 y^{2}$ .

$14 (4 y^{3}) + 14 (3 y^{2}) - 168 y - 126$

Step 1.3

Factor $14$ out of $- 168 y$ .

$14 (4 y^{3}) + 14 (3 y^{2}) + 14 (- 12 y) - 126$

Step 1.4

Factor $14$ out of $- 126$ .

$14 (4 y^{3}) + 14 (3 y^{2}) + 14 (- 12 y) + 14 (- 9)$

Step 1.5

Factor $14$ out of $14 (4 y^{3}) + 14 (3 y^{2})$ .

$14 (4 y^{3} + 3 y^{2}) + 14 (- 12 y) + 14 (- 9)$

Step 1.6

Factor $14$ out of $14 (4 y^{3} + 3 y^{2}) + 14 (- 12 y)$ .

$14 (4 y^{3} + 3 y^{2} - 12 y) + 14 (- 9)$

Step 1.7

Factor $14$ out of $14 (4 y^{3} + 3 y^{2} - 12 y) + 14 (- 9)$ .

$14 (4 y^{3} + 3 y^{2} - 12 y - 9)$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$14 ((4 y^{3} + 3 y^{2}) - 12 y - 9)$

Step 2.2

Factor out the greatest common factor (GCF) from each group.

$14 (y^{2} (4 y + 3) - 3 (4 y + 3))$

Step 3

Factor.

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Step 3.1

Factor the polynomial by factoring out the greatest common factor, $4 y + 3$ .

$14 ((4 y + 3) (y^{2} - 3))$

Step 3.2

Remove unnecessary parentheses.

$14 (4 y + 3) (y^{2} - 3)$