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(3x-4y)-(4x-3y)

less than a minute read Jun 16, 2024
(3x-4y)-(4x-3y)

Simplifying the Expression (3x - 4y) - (4x - 3y)

This article will guide you through the process of simplifying the algebraic expression (3x - 4y) - (4x - 3y).

Understanding the Expression

The expression (3x - 4y) - (4x - 3y) involves:

  • Variables: 'x' and 'y' represent unknown quantities.
  • Coefficients: Numbers multiplying the variables (3, -4, 4, -3).
  • Parentheses: Indicate grouping and the order of operations.

Simplifying the Expression

  1. Distribute the negative sign: The minus sign in front of the second parenthesis changes the signs of the terms inside it:

    (3x - 4y) - (4x - 3y) = 3x - 4y - 4x + 3y

  2. Combine like terms: Identify terms with the same variable and exponent:

    (3x - 4x) + (-4y + 3y)

  3. Simplify: Combine the coefficients of the like terms:

    -x - y

Final Result

The simplified form of the expression (3x - 4y) - (4x - 3y) is -x - y.

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