Answer:
To complete the square for the equation X^2-8x+32=12x-4, we first need to move all the constant terms to one side of the equation and all the variable terms to the other side.
X^2 - 8x - 12x + 32 = -4
Next, we can simplify the equation by combining like terms:
X^2 - 20x + 32 = -4
Then, we can add a constant term to both sides of the equation such that the left side becomes a perfect square trinomial:
X^2 - 20x + 100 = 64
Finally, we can write the left side of the equation in the form (x - a)^2, where a is a constant:
(X - 10)^2 = 64
Therefore, the intermediate step in the form (x + a)^2 = b as a result of completing the square for the equation X^2 - 8x + 32 = 12x - 4 is (X - 10)^2 = 64.