Answer: 2(4x - 1)(2x - 1
Explanation:
First, we need to find the factors of 8 and 2. The factors of 8 are 1, 2, 4, and 8, while the factors of 2 are 1 and 2.
Next, we need to find two numbers that multiply to give us 8 and add up to -8. These numbers are -2 and -6.
Now we can rewrite the expression as follows:
8x^2 - 8x + 2 = 8x^2 - 2x - 6x + 2
= (8x^2 - 2x) + (-6x + 2)
= 2x(4x - 1) - 2(3x - 1)
= *2(4x - 1)(2x - 1)*
Therefore, the complete factorization of 8x^2 − 8x + 2 is 2(4x - 1)(2x - 1).