Question

Simplify the difference. (4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Answer 1

Answer:

  2w^2 -7w-2

Step-by-step explanation:

(4w^2 – 4w – 8) – (2w^2 + 3w – 6)

Distribute the minus sign

(4w^2 – 4w – 8) – 2w^2 - 3w + 6

I like to line them up vertically

  4w^2 – 4w – 8

– 2w^2 - 3w + 6

-----------------------------

  2w^2 -7w-2

Answer 2

Answer:

2w^2  - 7w - 2.

Step-by-step explanation:

We can remove the first set of parentheses without changing the content but we need to multiply the contents of the second one by -1:

(4w^2 – 4w – 8) – (2w^2 + 3w – 6)

= 4w^2 – 4w – 8 - 2w^2 - 3w + 6

= 2w^2  - 7w - 2.