Question

What should be added to the sum of 3pq + 5p2q2+ p3and p3−pq to get 3p3− 2p2q2+ 4pq?

Answer 1

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

Answer 2

Answer:

-3p2q2+pq

Step-by-step explanation:

Let the polynomial to be added be M

According to the question,

3pq + 5p2q2 + p3 + M = p3 + 2p2q2 + 4pq

⇒ M = (p3 + 2p2q2 + 4pq) - (3pq + 5p2q2 + p3)

⇒M=p3 + 2p2q2 + 4pq − 3pq − 5p2q2 − p3

Collecting like terms,

⇒M=p3 − p3 + 2p2q2 − 5p2q2 + 4pq − 3pq

⇒M= −3p2q2 + pq

Hope this was helpful ^^