Question

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

$2x^4{y}^2-3x{y}^2+7y^2{x}^2-2y^{2}x+6$

Answer 1

Find the like terms in polynomial.

Given, polynomial is $2x^4{y}^2-3x{y}^2+7y^2{x}^2-2y^{2}x+6$.

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

1. same variable
2. same degree

Otherwise, they can be called as ‘unlike terms’.

The like terms in the polynomial $2x^4{y}^2-3x{y}^2+7y^2{x}^2-2y^{2}x+6$ are $-3x{y}^2,-2y^{2}x$ because only these terms have the same variables and same degree.

Hence, the like terms in polynomial $2x^4{y}^2-3x{y}^2+7y^2{x}^2-2y^{2}x+6$ is $-3x{y}^2,-2y^{2}x$.