Find the difference (4w2 – 7w – 6) – (8w2 + 2w – 3) a.–4w2 – 9w – 3 b.–4w2 – 5w – 9 c.12w2 – 5w – 9 d.12w2 + 9w + 3

Simplify: (4w^2 - 7w - 6) - (8w^2 + 2w - 3)
Distribute the negative sign:
 = 4w^2 - 7w - 6 +  - 1(8w^2 + 2w - 3)
= 4w^2  +  - 7w  +   - 6 +  - 1(8w^2)  +  - 1(2w) + (- 1)( - 3)
= 4w^2 +  - 7w +  - 6 +  - 8w^2 +   - 2w + 3

Combine Like Terms:
= 4w^2 +  - 7w +  - 6 + 8w^2 +   - 2w + 3
=(4w^2 +  - 8w^2) + (- 7w +  - 2w) + (- 6 + 3)
=  - 4w^2  +   - 9w +  - 3

  - 4w^2  - 9w - 3

hope that helps!!!

It is better to use completing the square method to solve this quadratic equation.