Respuesta :

Space

Answer:

6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 7

General Formulas and Concepts:

Pre-Algebra

  • Distributive Property

Algebra I

Terms/Coefficients

  • Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

6x² - 5x + 3 - (3x² + 8x - 4)

Step 2: Simplify

  1. [Distributive Property] Distribute negative:
    6x² - 5x + 3 - (3x² + 8x - 4) = 6x² - 5x + 3 - 3x² - 8x + 4
  2. Combine like terms (x²):
    6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 5x + 3 - 8x + 4
  3. Combine like terms (x):
    6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 3 + 4
  4. Combine like terms (constants):
    6x² - 5x + 3 - (3x² + 8x - 4) = 3x² - 13x + 7

∴ we have subtracted the two trionomials!

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Topic: Algebra I

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