-4(x - 1)^2 - 3

-4(x - 1)^2 - 3

To expand this expression, we first need to use the distributive property to expand the squared term:

-4(x - 1)(x - 1) - 3

Multiply (x - 1)(x - 1) using the FOIL method:

-4(x^2 - x - x + 1) - 3
-4(x^2 - 2x + 1) - 3

Distribute the -4:

-4x^2 + 8x - 4 - 3

Combining like terms:

-4x^2 + 8x - 7

Therefore, the final expanded form of the expression is -4x^2 + 8x - 7.