(5x-xy^2)-(4xy^2-2x)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (5x - xy^2) - (4xy^2 - 2x)

This article will guide you through the process of simplifying the algebraic expression: (5x - xy^2) - (4xy^2 - 2x).

Understanding the Expression

The expression involves variables (x and y) and coefficients (5, -1, 4, -2). We need to combine like terms to simplify it.

Steps to Simplify

1. Distribute the negative sign: The minus sign before the second set of parentheses means we multiply each term inside by -1.

   (5x - xy^2) + (-1)(4xy^2 - 2x)
   

2. Simplify: Multiply -1 with each term inside the parentheses.

   5x - xy^2 - 4xy^2 + 2x
   

3. Combine like terms: Identify terms with the same variables and exponents.

   (5x + 2x) + (-xy^2 - 4xy^2) 
   

4. Add coefficients: Combine the coefficients of like terms.

   7x - 5xy^2
   

Simplified Expression

The simplified form of the expression (5x - xy^2) - (4xy^2 - 2x) is 7x - 5xy^2.