Answer:
-8 (4 x^2 - x + 1)
Step-by-step explanation:
Simplify the following:
3 x (x - 12 x) + 3 x^2 - 2 (x - 2)^2
x - 12 x = -11 x:
3 x×-11 x + 3 x^2 - 2 (x - 2)^2
3 x (-11) x = 3 x^2 (-11):
-11×3 x^2 + 3 x^2 - 2 (x - 2)^2
3 (-11) = -33:
-33 x^2 + 3 x^2 - 2 (x - 2)^2
3 x^2 - 33 x^2 = -30 x^2:
-30 x^2 - 2 (x - 2)^2
(x - 2) (x - 2) = (x) (x) + (x) (-2) + (-2) (x) + (-2) (-2) = x^2 - 2 x - 2 x + 4 = x^2 - 4 x + 4:
-30 x^2 - 2 x^2 - 4 x + 4
-2 (x^2 - 4 x + 4) = -2 x^2 + 8 x - 8:
-2 x^2 + 8 x - 8 - 30 x^2
Grouping like terms, -2 x^2 - 30 x^2 + 8 x - 8 = (-30 x^2 - 2 x^2) + 8 x - 8:
(-30 x^2 - 2 x^2) + 8 x - 8
-30 x^2 - 2 x^2 = -32 x^2:
-32 x^2 + 8 x - 8
Factor -8 out of -32 x^2 + 8 x - 8:
Answer: -8 (4 x^2 - x + 1)
