Answer: To simplify the expression (x-2)^3 + 4, we can expand the cube and combine like terms. Here's the step-by-step transformation:
Step 1: Expand the cube
(x-2)^3 = (x-2)(x-2)(x-2)
= (x^2 - 4x + 4)(x-2)
= x^3 - 2x^2 - 4x^2 + 8x + 4x - 8
= x^3 - 6x^2 + 12x - 8
Step 2: Add 4
(x-2)^3 + 4 = x^3 - 6x^2 + 12x - 8 + 4
= x^3 - 6x^2 + 12x - 4
Therefore, the transformation of (x-2)^3 + 4 is x^3 - 6x^2 + 12x - 4.
Explanation: