Answer:
[tex](2a-2)(a-1)[/tex]
Step-by-step explanation:
To write the factored form, multiply a*c from the standard form [tex]ax^2+bx+c[/tex]. Here it is 2*2 = 4.
Then find factors of 4 that add to b=-4.
4: 1,2,4
-2+-2 = -4
Split the middle term into -2x+-2x and factor by grouping.
[tex]2a^2-2a+-2a+2\\(2a^2-2a)+(-2a+2)\\2a(a-1)-2(a-1)\\(2a-2)(a-1)[/tex]
