Answer

Verified

430.2k+ views

**Hint:**The terms having the same variable with same exponents are called like terms. Check the variables and exponents of all the variables. Then the terms with the similar exponents and variables will come under like terms.

**Complete step-by-step answer:**

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 \[\left( {8pq, - 5pq} \right)\]

**Note:**We know that like terms are terms that contain the same variables raised to the same exponent (power). Only the numerical coefficients are different.

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.

Recently Updated Pages

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Advantages and disadvantages of science

10 examples of friction in our daily life

Trending doubts

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

10 examples of law on inertia in our daily life

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths