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SUBTRACTION OF ALGEBRAIC EXPRESSION - HORIZONTAL METHOD

__SUBTRACTION OF ALGEBRAIC EXPRESSION (HORIZONTAL METHOD) -__

**Subtracting algebraic expressions horizontally involves writing the terms of the** e**xpressions in a horizontal line and then performing subtraction. This method is particularly useful when you have to subtract algebraic expressions with multiple terms. Here are the steps for subtracting algebraic expressions horizontally:**

__Step 1:-__ Write the Expressions Horizontally

**Write the two expressions one below the other horizontally, ensuring that like terms are aligned vertically.**

**For example, let's subtract Expression B from Expression A:**

__Expression A:__ 4x²- 3xy + 2y

__Expression B:__ 2x²+ 5xy - y

__Step 2:-__ Distribute the Subtraction Sign

**Distribute the subtraction sign to each term in Expression B. This means changing the sign of every term in Expression B to its opposite (positive to negative or negative to positive).**

__Expression A:__ 4x²- 3xy + 2y

__Expression B:__ -(2x²+ 5xy - y)

__Step 3:-__ Align Like Terms Vertically

**Arrange the terms vertically, aligning like terms under each other. This makes it easier to subtract like terms. **

** 4x² - 3xy + 2y**

-(2x²+ 5xy - y)

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__Step 4:-__ Perform Subtraction

**Now, subtract the coefficients of the like terms vertically. Remember to retain the variable parts unchanged.**

**For "4x²- 2x²," subtract the coefficients: 4x²- 2x²= 2x².****For "-3xy - 5xy," subtract the coefficients: -3xy - 5xy = -8xy.****For "2y - (-y)," subtract the coefficients: 2y - (-y) = 2y + y = 3y.**

__Step 5:-__ Write the Result

**Write down the result of the subtraction, combining the simplified terms:**

** 2x²- 8xy + 3y**

**So, the simplified result of subtracting Expression B from Expression A horizontally is:**

** 2x²- 8xy + 3y.**

**This method helps you organize the terms neatly and subtract them systematically, especially when dealing with complex algebraic expressions with multiple terms.**