The distributed form of -2(x-3)^2 is -2x^2 + 12x - 18.
Step-by-step explanation:
The given question is -2(x-3)^2
step 1 :The formula for (a-b)^2 = a^2 - 2ab + b^2
step 2 :Here, the term (x-3)^2 = x^2 - (2*3x) + 3^2
= x^2 - 6x + 9
step 3 :The expanded form = -2 (x^2 - 6x + 9)
step 4 : where -2 can be distributed to each term inside the bracket.
Therefore, -2(x^2 - 6x + 9) = -2x^2 + 12x - 18
