Factor 2p^3+7q^3+7pq^2+2p^2q

$2 p^{3} + 7 q^{3} + 7 p q^{2} + 2 p^{2} q$

Regroup terms.

$7 p q^{2} + 2 p^{3} + 7 q^{3} + 2 p^{2} q$

Factor out the greatest common factor from each group.

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Group the first two terms and the last two terms.

$(7 p q^{2} + 2 p^{3}) + 7 q^{3} + 2 p^{2} q$

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

$p (7 q^{2} + 2 p^{2}) + q (7 q^{2} + 2 p^{2})$

Factor the polynomial by factoring out the greatest common factor, $7 q^{2} + 2 p^{2}$ .

$(7 q^{2} + 2 p^{2}) (p + q)$

Factor 2p^3+7q^3+7pq^2+2p^2q

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