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\[7p,8pq, - 5pq, - 2p,3p\]

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Here, the given terms are \[7p,8pq, - 5pq, - 2p,3p\]

Among the given terms we should find the like terms. Initially for that we should consider the terms having same variables as a group

In the given group we have two different variables they are $p{\text{ & }}pq$

Let us group the terms that have $p$ as its variable.

\[7p, - 2p\] and \[3p\] are the terms which have variable $p$.

These three terms are known as terms of variable $p$, since they contain the same variable p to the same power. (The power of p is 1 in all the three terms)

Now let us group all the terms that contain the variable $pq$.

In the given group of variables there are two terms with variable $pq$.

\[8pq\] and \[ - 5pq\] are the two terms which have the variable $pq$

These two terms are known as terms of variable $pq$, since they contain the same variable p and q to the same power. (The powers of p and q is 1 in both terms)

Hence,

We have found that the like terms in the given group are \[\left( {7p, - 2p,3p} \right)\] and \[\left( {8pq, - 5pq} \right)\]

Constants are always said to be like terms because in every constant term there may be any number of variables which have the exponent zero. Unlike terms are the terms which have different variables and exponents.