Answer:
-(7 x^2 - 3 x - 5) thus A.
Explanation:
Simplify the following:
-(4 x^2 - 2 x) - 3 x^2 + x + 5
Hint: | Factor common terms out of 4 x^2 - 2 x.
Factor 2 x out of 4 x^2 - 2 x:
-3 x^2 + x + 5 - 2 x (2 x - 1)
Hint: | Distribute -2 x over 2 x - 1.
-2 x (2 x - 1) = 2 x - 4 x^2:
2 x - 4 x^2 - 3 x^2 + x + 5
Hint: | Group like terms in -3 x^2 - 4 x^2 + 2 x + x + 5.
Grouping like terms, -3 x^2 - 4 x^2 + 2 x + x + 5 = (-3 x^2 - 4 x^2) + (x + 2 x) + 5:
(-3 x^2 - 4 x^2) + (x + 2 x) + 5
Hint: | Combine like terms in -3 x^2 - 4 x^2.
-3 x^2 - 4 x^2 = -7 x^2:
-7 x^2 + (x + 2 x) + 5
Hint: | Add like terms in x + 2 x.
x + 2 x = 3 x:
-7 x^2 + 3 x + 5
Hint: | Factor a minus sign out of -7 x^2 + 3 x + 5.
Factor -1 out of -7 x^2 + 3 x + 5:
Answer: -(7 x^2 - 3 x - 5)