When terms have the same algebraic factors, they are like terms or we can say like terms are terms that have the same variables and powers. The coefficients can be different so there is no need to match them.
When terms have different algebraic factors they are unlike terms or we can say that Unlike terms are two or more terms that do not have the same variables or powers. The order of the variables does not matter unless they are different.
Illustration: Identify the pair of like terms in the following
Solution:
are like terms because they have the same variables and power,
are like terms as the powers are same with respect to the variable even when the order of the variable is different .
are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.
The expression consists of two terms
and -3xy.The term
is a product of 4, x, and x: we say that 4,x, and x are factors of the term
. A term is a product of its factors.
We can represent the terms and factors of the terms of an expression by a tree diagram.
Illustration: Find the factors of the expression using a tree diagram.
Solution: The terms and factors of the given expression are shown in the following tree diagram
Illustration: Find the factors of the expression using a tree diagram.
(i)
(iI)
Identify the like terms in the expression: 3xy+5yz+2xz+9xy-2z | |||
Right Option : C | |||
View Explanation |
Identify the pair/ pairs of like terms in the given expression
| |||
Right Option : B | |||
View Explanation |
State whether | |||
Right Option : B | |||
View Explanation |
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