Factor the expression completely.

2x^2-16x+32

2 (x - 4) (x - 4)

Step-by-step explanation:

2x²-16x+32

First find the sum and the product of this expression

sum = - 16

product = 2*32 = 64.

Which are this 2 numbers (factors) such that when you multiply them you get 64 and when you add them you the result is - 16.

These factors are:

-8 and - 8

2x² - 16x + 32 = 2x² - 8x - 8x + 32

= 2x (x - 4) - 8 (x - 4)

= (x - 4) (2x - 8)

= 2 (x - 4) (x - 4)