less than a minute read Jun 17, 2024

Simplifying the Expression: (y²−4y+9)−(3y²−6y−9)

This article will guide you through the process of simplifying the algebraic expression: (y²−4y+9)−(3y²−6y−9).

Understanding the Concept

The expression involves subtracting one polynomial from another. To do this, we will:

  1. Distribute the negative sign: The negative sign in front of the second parenthesis needs to be distributed to each term inside the parenthesis.
  2. Combine like terms: We will then group similar terms together and perform the necessary addition and subtraction operations.

Step-by-Step Simplification

  1. Distribute the negative sign: (y²−4y+9) - (3y²−6y−9) = y² - 4y + 9 -3y² + 6y + 9

  2. Combine like terms: (y² - 3y²) + (-4y + 6y) + (9 + 9)

  3. Simplify: -2y² + 2y + 18


Therefore, the simplified form of the expression (y²−4y+9)−(3y²−6y−9) is -2y² + 2y + 18.

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