LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

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.**