Question

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

$2l{m}^2{n}^3,-4m^3{n}^{2}l,6l^{2}n{m}^3,-8n^3{m}^{2}l$

Answer 1

Step 1: Finding like terms

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

$\text{So ,like terms are}2l{m}^2{n}^3,-4m^3{n}^{2}l,-8n^3{m}^{2}l$

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 $2l{m}^2{n}^3$ is $2$

The numerical Coefficient of a term $-4m^3{n}^{2}l$ is $-4$

The numerical Coefficient of a term $-8n^3{m}^{2}l$ is $-8$.