Question

Subtract: Express your answer as a polynomial: 9(4y^2 - 7y + 2) - 3(8 - 9y^2).

Answer 1

To subtract the polynomials 9(4y^2 - 7y + 2) and 3(8 - 9y^2), distribute the 9 and the 3 to each term in their respective polynomials. Simplify the expression by combining like terms to get 63y^2 - 36y - 6.

Step-by-step explanation:

To subtract the polynomials 9(4y^2 - 7y + 2) and 3(8 - 9y^2), distribute the 9 and the 3 to each term in their respective polynomials:

$$9(4y^2 - 7y + 2) - 3(8 - 9y^2)$$

Simplify each term:

$$36y^2 - 63y + 18 - 24 + 27y^2$$

Combine like terms:

$$63y^2 - 36y - 6$$

So the answer is 63y^2 - 36y - 6.