Question

Identify the like terms in each of the following algebraic expressions:

$3xy-4x^2{y}^2-2xy-2x^2{y}^2+7xy$

Answer 1

Find the like terms in polynomial.

Given, polynomial is $3xy-4x^2{y}^2-2xy-2x^2{y}^2+7xy$

Two or more terms can be called as ‘like terms’ if they have

1. same degree
2. same variable

Otherwise, the terms are ‘unlike terms’.

The like terms in polynomial $3xy-4x^2{y}^2-2xy-2x^2{y}^2+7xy$ are $(3xy,-2xy,7xy)$ and $(-4x^2{y}^2,-2x^2{y}^2)$ because these sets of terms have the same variables and the same degree.

Hence, the like terms in polynomial $3xy-4x^2{y}^2-2xy-2x^2{y}^2+7xy$ are $(3xy,-2xy,7xy)$ and $(-4x^2{y}^2,-2x^2{y}^2)$.