Question

What should be added to 3pq+5p2 q 2 + p3 to get 4pq+2p2q 2 + p3 ?

Answer 1

Answer:

Let the polynomial to be added be M

According to question,

3pq+5p

2

q

2

+p

3

+M=p

3

+2p

2

q

2

+4pq

⇒M=(p

3

+2p

2

q

2

+4pq)−(3pq+5p

2

q

2

+p

3

)

⇒M=p

3

+2p

2

q

2

+4pq−3pq−5p

2

q

2

−p

3

Collecting like terms,

⇒M=p

3

−p

3

+2p

2

q

2

−5p

2

q

2

+4pq−3pq

⇒M=−3p

2

q

2

+pq