(2x+5y)+(3x-2y)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (2x + 5y) + (3x - 2y)

This article will guide you through simplifying the algebraic expression (2x + 5y) + (3x - 2y).

Understanding the Expression

The expression consists of two sets of terms enclosed in parentheses. Each term includes a coefficient (a number) and a variable (x or y).

The Process of Simplification

1. Removing Parentheses: Since we are adding the two sets of terms, the parentheses don't affect the order of operations. We can simply remove them:

   (2x + 5y) + (3x - 2y) = 2x + 5y + 3x - 2y

2. Combining Like Terms: Identify terms with the same variable and exponent:

   • 2x and 3x are like terms.
   • 5y and -2y are like terms.

   Combine the coefficients of the like terms:

   • 2x + 3x = 5x
   • 5y - 2y = 3y

3. Final Result: The simplified expression is: 5x + 3y

Conclusion

By following the steps outlined above, we successfully simplified the algebraic expression (2x + 5y) + (3x - 2y) to 5x + 3y. Simplifying expressions is a fundamental skill in algebra, helping us to understand and manipulate mathematical concepts more effectively.