(–7w2 – 2w – 1) – (–5w2 + 3w – 2)
A. 12w2 + 5w + 1
B. –2w2 – 5w – 1
C. –2w2 – 5w + 1
D. –12w2 – 5w – 3
Using parentheses and distributing the negative sign, we get:
(–7w2 – 2w – 1) – (–5w2 + 3w – 2) = –7w^2 – 2w – 1 + 5w^2 – 3w + 2
Combining like terms, we get:
= –2w^2 – 5w + 1
Therefore, the answer is option C.