Question

What should be added to 3pq + 5p²q² + p³ to get p³ + 2p²q² + 4pq?

Answer 1

In order to find the solution, subtract 3pq + 5p²q² + p³ from p³ + 2p²q² + 4pq

Required expression is p³ + 2p²q² + 4pq – (3pq + 5p²q² + p³) = p³ + 2p²q² + 4pq – 3pq – 5p²q² – p³

On combining the like terms,

= p³ – p³ + 2p²q² – 5p²q² + 4pq – 3pq

= –3p²q² + pq

So, If we add –3p²q² + pq in 3pq² + 5p²q² + p³, we get p³ + 2p²q² + 4pq.