(y^2-4y+9)-(3y^2-6y-9)

less than a minute read Jun 17, 2024

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

This expression involves subtracting one trinomial from another. Let's break down the steps to simplify it:

1. Distribute the Negative Sign:

The minus sign in front of the second parenthesis means we multiply each term inside the parenthesis by -1:

(y² - 4y + 9) + (-1)(3y² - 6y - 9)

This becomes:

y² - 4y + 9 - 3y² + 6y + 9

2. Combine Like Terms:

Identify the terms with the same variable and exponent and group them together.

y² - 3y² - 4y + 6y + 9 + 9

3. Simplify:

Perform the addition and subtraction for each group of like terms:

-2y² + 2y + 18

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