How to distribute - 2 (x-3) ^2

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