CLASS-6
ADDITION OF ALGEBRAIC EXPRESSION

ADDITION OF ALGEBRAIC EXPRESSION -

Adding algebraic expressions involves combining like terms, which means grouping and adding the terms with the same variables and exponents. Here are the steps for adding algebraic expressions:

Step 1:- Identify Like Terms

Examine the expressions and identify terms that are similar, i.e., terms that have the same variables with the same exponents. These terms are called "like terms."

Step 2:- Organize the Terms

Write down the expressions one below the other, ensuring that like terms are aligned vertically.

Step 3:- Combine Like Terms

Add the coefficients of the like terms together. If a term has no coefficient explicitly written, it is considered to have a coefficient of 1. Be sure to retain the variable parts (with their exponents) unchanged.

Step 4:- Write the Result

Express the final result as a sum of the combined like terms and any remaining terms.

Here's an example of adding algebraic expressions:

Example.1)  Adding Algebraic Expressions

Given the expressions:

Expression A:  3x²- 2xy + 4y

Expression B:  2x²+ 5xy - 3y

Ans.)

Step 1:- Identify Like Terms

Identify the like terms in both expressions.

In Expression A:  3x², -2xy, and 4y are like terms.

In Expression B:  2x², 5xy, and -3y are like terms.

Step 2:- Organize the Terms           

              3x²- 2xy + 4y

           + 2x²+ 5xy - 3y

Step 3:- Combine Like Terms

• Combine the coefficients of like terms:

          For "3x²+ 2x²," add the coefficients: 3x²+ 2x²= 5x².

          For "-2xy + 5xy," add the coefficients: -2xy + 5xy = 3xy.

          For "4y - 3y," add the coefficients: 4y - 3y = y.

Step 4:- Write the Result

Write down the simplified result as a sum of the combined like terms:

          5x²+ 3xy + y

So, the simplified result of adding Expression A and Expression B is:

          5x²+ 3xy + y.

This method allows you to systematically add algebraic expressions by combining like terms and simplifying the expression.