Question

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

$b^{2}ax,-5bx{a}^2,-6ax{b}^2,8ba{x}^2,4xa{b}^2$

Answer 1

Step 1: Finding like terms

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

$\text{So ,like terms are}{b}^{2}ax,-6ax{b}^2,4xa{b}^2$

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 $b^{2}ax$ is $1$

The numerical Coefficient of a term $-6ax{b}^2$ is $-6$

The numerical Coefficient of a term $4xa{b}^2$ is $4$.