Factor by Grouping 36m^3-6m^2p^2-6mp+p^3

$36 m^{3} - 6 m^{2} p^{2} - 6 m p + p^{3}$

Step 1

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

$(36 m^{3} - 6 m^{2} p^{2}) - 6 m p + p^{3}$

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

$6 m^{2} (6 m - 1 p^{2}) - p (6 m - p^{2})$

Step 2

Factor the polynomial by factoring out the greatest common factor, $6 m - 1 p^{2}$ .

$(6 m - 1 p^{2}) (6 m^{2} - p)$

Step 3

Rewrite $- 1 p^{2}$ as $- p^{2}$ .

$(6 m - p^{2}) (6 m^{2} - p)$