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

  • 7a2b and 31a2b are like terms.
  • In the expression 6x2 + 7xy - 9y3 - 3xy +7, 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