To add several positive like terms, we proceed as follows :

1) Add 4xy, 12xy and 3xy.

4xy ---> coefficient 4

12xy ----> coefficient 12

3xy -----> coefficient 3

Add all the coefficients ( 4 + 12 + 3 = 19).

Hence, 4xy + 12xy + 3xy = 19xy.

2) Add 3a

The sum of the numerical coefficient = (3 + 2 + 13 + 1 = 19)

Hence, 3a

To add negative like terms, we proceed as follows :

1) Add -7xy, -3xy and -9xy.

-7xy ----> coefficient -7

-3xy ----> coefficient -3

-9xy ----> coefficient -9

Add all the coefficients ( -7-3-9 = -19)

Hence,-7xy -3xy -9xy = -19xy

2) Add -4ab, -7ab,-10ab and -3ay

The sum of numerical coefficient =(-4-7-10-3 = -24)

Hence, -4ab-7ab-10ab-3ab = -24ab.

In adding algebraic expressions containing like and unlike terms, we collect different groups of like terms and find the sum of like terms in each group bye the methods discussed above.

= (7x + 4) + (3x -1)

=

= 10x + 3

2) a

= (a

= a

= a

= 2a

= 2a

• Like and Unlike terms in Algebra

• Addition of algebraic expressions

• Subtraction of algebraic expressions

• Multiplication of algebraic expressions

• Division of algebraic expressions

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