Question

Identify the like terms in the following algebraic expressions and write the numeric coefficient of each like term.

$xy{z}^2,-x^{2}yzz,5x^2{y}^{2}z,-4xy{z}^2$

Answer 1

Step 1: Finding like terms

Two or more terms with identical variables with the same powers are called like terms.

$\text{So ,like terms are}xy{z}^2,-4xy{z}^2$

Step 2: Finding the coefficient of each like term

A constant factor is called the numerical coefficient of the algebraic term

The numerical Coefficient of a term $xy{z}^2$ is $1$

The numerical Coefficient of a term $-4xy{z}^2$ is $-4$.