As in the case of like terms, the idea of unlike terms may also be explained to the
child emphasizing the difference between the two.
- Addition of terms
Addition can be performed among algebraic terms only when they are like terms.
Eg. : Add : 5x, 10 x, 7x
Here all the three given terms are like terms and therefore, addition can be performed.
Therefore, 5x + 10x + 7x = (5 + 10 + 7) x
= 22 x
Note that the sum of two or more like terms is a term whose coefficient is the sum of the
coefficients of all the like terms.
The concept may be explained to the child with examples with the provision of adequate
exercises involving addition of like terms.
- Subtraction of terms
As in the case of addition, subtraction among algebraic terms is also possible only
when the terms are like terms.
Eg. : Subtract : 14xy from 35xy
In the above mentioned example the given terms are like terms, that is with the same
product of variables x and y, and hence subtraction is possible.
Therefore, 35xy – 14xy = (35 – 14) xy
= 21xy
Note that the difference between two like terms is a term with the same variables and
whose coefficient is the difference between the numerical coefficients of the two like
terms.