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SUBTRACTION OF ALGEBRAIC EXPRESSION

__SUBTRACTION OF ALGEBRAIC EXPRESSION -__

**Subtracting algebraic expressions involves subtracting one expression from another. When subtracting algebraic expressions, you should follow these steps:**

__Distribute the Subtraction Sign:-__Distribute the subtraction (negative) sign to every term within the expression being subtracted. This ensures that you subtract each term correctly.__Organize the Terms:-__Write down the expressions, with the subtraction sign distributed, so you can see the terms you'll be subtracting.__Combine Like Terms:-__Within each expression, combine the like terms by subtracting their coefficients. Like terms have the same variables with the same exponents.__Retain the Variable Part:-__Keep the variable parts, including their exponents, unchanged. The variable part represents the common variable(s) shared by the like terms.__Perform the Subtraction:-__Perform the subtraction for each group of like terms or constants separately.__Write the Result:-__Express the final result as the difference of the combined terms and any remaining terms.

**Here's an example of subtracting algebraic expressions:**

**Example.1)** **Subtracting Algebraic Expressions**

**Given the expressions:**

__Expression A:-__4x²- 3xy + 2y__Expression B:-__2x²+ 5xy - y

**Distribute the subtraction sign and organize the terms.**

**Ans.)**

**Expression A - Expression B = (4x²- 3xy + 2y) - (2x²+ 5xy - y)**

**Combine like terms separately:**

**(4x²- 2x²) - (3xy - 5xy) + (2y + y)**

**Now, subtract the like terms:**

**2x²- (-2xy) + 3y**

**Combine the coefficients for like terms:**

**2x²+ 2xy + 3y**

**So, the simplified result of subtracting the algebraic expressions is 2x²+ 2xy + 3y.**

**In this example, we distributed the subtraction sign, organized the terms, combined like terms separately, and then expressed the final result as the difference of the combined terms.**