Question

How do you simplify the difference `(4w^2- 4w- 8)- (2w^2 +3w- 6)`?

Answer 1

`2w^2-7w-2`

Explanation:

Let's remember that `(4w^2-4w-8)-(2w^2+3w-6)` is the same as

`(4w^2-4w-8)-1(2w^2+3w-6)`

You now need to distribute the `-1`

`4w^2-4w-8-2w^2-3w+6`

Now combine like terms. (Same variable and same exponent.)

`2w^2-7w-2`