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Q.

The like terms in the following group of terms 7p,8pq,-5pq,-2p,3p are ____ and ____.


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Detailed Solution

Concept: The like terms in the following group of terms 7p,8pq,-5pq,-2p,3p are (7p, -2p, 3p) and (8pq, -5pq) . Like terms are those that share the same variable and exponents. Verify all of the variables' exponents and exponents. Then, terms with comparable exponents and variables will be grouped together.
The terms in this case are 7p, 8pq, -5pq, -2p, and 3p.
We should look for similar terms among the provided terms. To begin with, we should group together terms with the same variables.
We have two distinct variables in the sample group: p and pq.
Let's group the terms whose variable is p.
Three terms7p, -2p, and 3phave a variable for p.
These three terms are referred to as terms of variable p since they are powers of the same variable, p. (In each of the three phrases, the power of p is 1)
Let's now group every term that refers to the variable pq.
There are two words containing the variable pq in the provided set of variables.The two terms with the variable pq are 8pq and -5pq.
Due to the fact that they have the same variable p and variable q to the same power, these two words are referred to as terms of variable pq. (In both forms, the powers of p and q are 1) 
Consequently, we discovered that the similar terms in the given group are (7p, -2p, 3p) and (8pq, -5pq) .
Hence, the answer is (7p, -2p, 3p) and (8pq, -5pq) .
 
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