Solve op(op-pq)+(pq-op)(pq+op)-(p^2q^2-op^2q)

$$o p ( o p - p q ) + ( p q - o p ) ( p q + o p ) - ( p ^ { 2 } q ^ { 2 } - o p ^ { 2 } q )$$

Evaluate

$$0$$

Solution Steps

Use the distributive property to multiply op by op-pq.

$$o^{2}p^{2}-oqp^{2}+\left(pq-op\right)\left(pq+op\right)-\left(p^{2}q^{2}-op^{2}q\right)$$

Use the distributive property to multiply pq-op by pq+op and combine like terms.

$$o^{2}p^{2}-oqp^{2}+p^{2}q^{2}-o^{2}p^{2}-\left(p^{2}q^{2}-op^{2}q\right)$$

Combine o^{2}p^{2} and -o^{2}p^{2} to get 0.

$$-oqp^{2}+p^{2}q^{2}-\left(p^{2}q^{2}-op^{2}q\right)$$

To find the opposite of p^{2}q^{2}-op^{2}q, find the opposite of each term.

$$-oqp^{2}+p^{2}q^{2}-p^{2}q^{2}+op^{2}q$$

Combine p^{2}q^{2} and -p^{2}q^{2} to get 0.

$$-oqp^{2}+op^{2}q$$

Combine -oqp^{2} and op^{2}q to get 0.

$$0$$

Factor

$$0$$