Question

Explain your answer

Simplify the difference.

(4w2 - 7w - 6) - (8w2 + 2w - 3)
Choose one answer.
a. -4w2 - 9w - 3
b. 12w2 + 9w + 3
c. -4w2 - 5w - 9
d. 12w2 - 5w - 9

Answer 1

(4w² - 7w - 6) - (8w² + 2w - 3)
(4w² - 8w²) + (-7w - 2w) + (-6 + 3)
-4w² - 9w - 3
The answer is A.

Answer 2

`(4w^2-7w-6)-(8w^2+2w-3)\\ -(a\pm b)=-1(a\pm b)\ \ \ \ |use\ a\ distributive\ property: a(b\pm c)=ab\pm ac\\\\\=4w^2-7w-6-8w^2-2w-(-3)\\\\ = 4w^2-7w-6-8w^2-2w-(-3)\\\\=(4w^2-8w^2)+(-7w-2w)+(-6+3)\\\\=\boxed{-4w^2-9w-3}`