Resolver 10p^{2}q^{3}+14p^{3}q^{2}-18p^4q^3-16p^5q^2

$$10 p ^ { 2 } q ^ { 3 } + 14 p ^ { 3 } q ^ { 2 } - 18 p ^ { 4 } q ^ { 3 } - 16 p ^ { 5 } q ^ { 2 }$$

Factorizar

$$2p^{2}q^{2}\left(5q-9qp^{2}+7p-8p^{3}\right)$$

Pasos da solución

Factoriza 2.

$$2\left(5p^{2}q^{3}+7p^{3}q^{2}-9p^{4}q^{3}-8p^{5}q^{2}\right)$$

Considera 5p^{2}q^{3}+7p^{3}q^{2}-9p^{4}q^{3}-8p^{5}q^{2}. Factoriza p^{2}q^{2}.

$$p^{2}q^{2}\left(5q+7p-9p^{2}q-8p^{3}\right)$$

Reescribe a expresión factorizada completa.

$$2p^{2}q^{2}\left(5q+7p-9p^{2}q-8p^{3}\right)$$

Calcular

$$2\left(5q-9qp^{2}+7p-8p^{3}\right)\left(pq\right)^{2}$$