Like Terms

Definition of Like Terms

  • Like terms are monomials that contain the same variables raised to the same powers. They can be combined to form a single term.

Examples of Like Terms

  • are like terms.
  • In the expression , the like terms are 7xy and - 3xy.
 

More about Like Terms

  • While adding or subtracting, we add or subtract the like terms.
  • Like Radical Expressions: Like radical expressions are the radical expressions that have the same indices and radicands.

Solved Example on Like Terms

Simplify: 2xy + 4 + 3xy + y

Choices:

A. 4xy + 5y + 4

B. 6xy + y + 4

C. 5xy + y + 4

D. 6xy + 4y + 4

Correct Answer: C

Solution:

Step 1: In the expression 2xy + 4 + 3xy + y, the like terms are 2xy and 3xy.

Step 2: So, the final expression is 5xy + y + 4.

Related Terms for Like Terms

  • Monomial
  • Power
  • Variable
  • Term

Additional Links for Like Terms