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Question

Identify like terms in the following:

10pq,7p,8q,-p2q2,-7qp,-100q,-23,12q2p2,-5p2,41,2405p,78qp,13p2q,qp2,701p2


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Solution

Define like terms and identify them:

The two or more algebraic terms having the same constituent variables and the same power of each variable are said to be like terms.

The given expressions are,

10pq,7p,8q,-p2q2,-7qp,-100q,-23,12q2p2,-5p2,41,2405p,78qp,13p2q,qp2,701p2

Here, the terms having no variables, only p, only q, pq, p2, p2q or p2q2 are the like terms.

So, the like terms of the given data are,

  1. -23,41
  2. 7p,2405p
  3. 8q,-100q
  4. 10pq,-7qp,78qp ∵pq=qp
  5. -5p2,701p2
  6. 13p2q,qp2 ∵p2q=qp2
  7. -p2q2,12q2p2 ∵p2q2=q2p2

Hence, the like terms are -23,41,7p,2405p,8q,-100q,10pq,-7qp,78qp,-5p2,701p2,13p2q,qp2 and -p2q2,12q2p2.


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