Simplify the difference. (4w² - 4w - 8) - (2w² + 3w - 6)

Solution:

Given, the expressions are 4w² - 4w - 8 and 2w² + 3w - 6.

We have to find the difference.

(4w² - 4w - 8) - (2w² + 3w - 6) = 4w² - 4w - 8 - (2w² ) - (+3w) - (-6)

= 4w² - 4w - 8 - 2w² - 3w + 6

On grouping of common terms,

= 4w² - 2w² - 4w - 3w - 8 + 6

= 2w² - 7w - 2

Therefore, the required difference is 2w² - 7w - 2.

Simplify the difference. (4w² - 4w - 8) - (2w² + 3w - 6)

Summary:

Simplifying the difference (4w² - 4w - 8) - (2w² + 3w - 6) we get, 2w² - 7w - 2.