Question

State whether given pairs of terms are like or unlike terms.
$4x^{2}y,4x{y}^2$

Answer 1

Terms which are having the same variables that are raised to the same power are called the like terms. They may differ in their numerical coefficient.

Whereas the terms which do not have the same variables are unlike terms.

The given pairs of terms are $4x^{2}y,4x{y}^2$

The term $4x^{2}y$ has variables $x^{2}y$

and the term $4x{y}^2$ has variables $x{y}^2$

Since variables are different

Hence, the given pairs of terms are unlike