(y2−4y+9)−(3y2−6y−9)=

Jasonbradley

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Jun 17, 2024

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

This expression involves subtracting two polynomials. To simplify it, we need to follow these steps:

1. Distribute the negative sign: The minus sign in front of the second polynomial means we multiply each term inside the parentheses by -1.

   (y²−4y+9) + (-1)(3y²−6y−9)

2. Simplify: Multiplying by -1 changes the sign of each term inside the parentheses.

   y² - 4y + 9 - 3y² + 6y + 9

3. Combine like terms: Group the terms with the same variable and exponent together.

   (y² - 3y²) + (-4y + 6y) + (9 + 9)

4. Simplify further: Perform the arithmetic operations.

   -2y² + 2y + 18

Therefore, the simplified expression is -2y² + 2y + 18.