Basic Math Examples

$12 m^{3} - 8 m - 10 + 15 m^{2}$

Step 1

Reorder terms.

$12 m^{3} + 15 m^{2} - 8 m - 10$

Step 2

Factor out the greatest common factor from each group.

Tap for more steps...

Step 2.1

Group the first two terms and the last two terms.

$(12 m^{3} + 15 m^{2}) - 8 m - 10$

Step 2.2

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

$3 m^{2} (4 m + 5) - 2 (4 m + 5)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $4 m + 5$ .

$(4 m + 5) (3 m^{2} - 2)$