Final answer:
The factored form of the given expression is 2x^2-8x+6.
Step-by-step explanation:
The expression 4(x2-2x)-2(x2-3) can be simplified by using the distributive property. First, distribute the 4 and the -2 to the terms inside the parentheses:
4(x2-2x) = 4x2-8x
-2(x2-3) = -2x2+6
Next, combine the like terms:
4x2-8x-2x2+6 = 2x2-8x+6
Therefore, the expression in factored form that is equivalent to 4(x2-2x)-2(x2-3) is 2x2-8x+6.