In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Two ways to solve addition of algebraic expressions.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

Examples on addition of algebraic expressions:

1. Add: 6a + 8b – 7c, 2b + c – 4a and a – 3b – 2c

Solution:

Horizontal Method:

(6a + 8b – 7c) + (2b + c – 4a) + (a – 3b – 2c)

= 6a + 8b – 7c + 2b + c – 4a + a – 3b – 2c

Arrange the like terms together, then add.

Thus, the required addition

= 6a – 4a + a + 8b + 2b – 3b – 7c + c – 2c

= 3a + 7b – 8c

Column Method:

Solution:

Writing the terms of the given expressions in the same order in form of rows with like terms below each other and adding column wise;

## Answers ( )

Answer:In addition of algebraic expressions while adding algebraic expressions we collect the like terms and add them. The sum of several like terms is the like term whose coefficient is the sum of the coefficients of these like terms.

Two ways to solve addition of algebraic expressions.

Horizontal Method: In this method, all expressions are written in a horizontal line and then the terms are arranged to collect all the groups of like terms and then added.

Column Method: In this method each expression is written in a separate row such that there like terms are arranged one below the other in a column. Then the addition of terms is done column wise.

Examples on addition of algebraic expressions:

1. Add: 6a + 8b – 7c, 2b + c – 4a and a – 3b – 2c

Solution:

Horizontal Method:

(6a + 8b – 7c) + (2b + c – 4a) + (a – 3b – 2c)

= 6a + 8b – 7c + 2b + c – 4a + a – 3b – 2c

Arrange the like terms together, then add.

Thus, the required addition

= 6a – 4a + a + 8b + 2b – 3b – 7c + c – 2c

= 3a + 7b – 8c

Column Method:

Solution:

Writing the terms of the given expressions in the same order in form of rows with like terms below each other and adding column wise;

6a + 8b – 7c

– 4a + 2b + c

a – 3b – 2c

3a + 7b – 8c

= 3a + 7b – 8c

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