Answer:
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)
