Simplify the following:
-(2 x^2-4 x+2)+3 x^2+4 x-6
Factor 2 out of 2 x^2-4 x+2:
3 x^2+4 x-6-2 (x^2-2 x+1)
-2 (x^2-2 x+1) = -2 x^2+4 x-2:
-2 x^2+4 x-2+3 x^2+4 x-6
Grouping like terms, 3 x^2-2 x^2+4 x+4 x-6-2 = (3 x^2-2 x^2)+(4 x+4 x)+(-6-2):
(3 x^2-2 x^2)+(4 x+4 x)+(-6-2)
3 x^2-2 x^2 = x^2:
x^2+(4 x+4 x)+(-6-2)
4 x+4 x = 8 x:
x^2+8 x+(-6-2)
-6-2 = -8:
Answer: |
| x^2+8 x+-8 The roots are:x = -2(2+sqrt(6)) and x = 2(sqrt(6)-2)
