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)