(-7w²-2w-1)-(-5w²+3w-2)
A) 12w²+5w+1
B) -2w^2-5w-1
C) -2w²-5w+1
D) -12w^2-5w-3
-7w²-2w-1 + 5w² - 3w + 2 (distribute the negative sign in front of the second parentheses)
= -7w² + 5w² - 2w - 3w - 1 + 2 (combine like terms)
= -2w² - 5w + 1
Therefore, the answer is C) -2w²-5w+1.
To simplify the given expression (-7w²-2w-1)-(-5w²+3w-2), we can distribute the negative sign to each term inside the second set of parentheses.
(-7w² - 2w - 1) - (-5w² + 3w - 2) becomes:
-7w² - 2w - 1 + 5w² - 3w + 2
Next, we can combine like terms:
(-7w² + 5w²) + (-2w - 3w) + (-1 + 2)
This simplifies to:
-2w² - 5w + 1
Therefore, the correct option is C) -2w² - 5w + 1.