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