What is the simplified form of this expression??

-(7 x^2 - 3 x - 5) thus A.

Step-by-step 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:

 -(7 x^2 - 3 x - 5)

b is the correct answer