Chapter 4.2, Problem 2GP

To determine

To identify: Terms in the given expression.

Answer to Problem 2GP

Like terms: $5m\text{ and }-6m$

Constant: $2$

Coefficient: $3,5\text{and }-6$

Explanation of Solution

Given information:

  $3n+5m-6m+2$

Concept Used:

An algebraic expression consists of variable and constants with different operators like addition, subtraction, multiplication and division between them.

In an algebraic expression, different parts of the expression separated by subtraction or addition operators are known as terms.

The numeric part of the term with variables is known as coefficient.

Terms with same variables are known as like terms

Calculation:

The given equation can be written as-

  $3n+5m-6m+2=3n+5m+\left(-6m\right)+2$

Basis the definition-

  $5m\text{ and }-6m$ are like terms as their variables are same.

Constant is $2$ as it has no variable with it.

Coefficient is $3,5\text{and }-6$