Question

What is the complete factorization of 8x2 - 8x + 2?
OA. 214x-1)2
OB. 8(x - 1)(x + 1)
C. 2(2x - 1)2
D. 2(x - 2)(+2)
Plz help

Answer 1

Complete factorization of $8x^2-8x+2$ is $2(2x-1)^2$.

Step-by-step explanation:

Given,

$8x^2-8x+2$

Taking 2 common

$2(4x^2-4x+1)$

$2(4x^2-2x-2x+1)\\2[2x(2x-1)-1(2x-1)]\\2(2x-1)(2x-1)\\2(2x-1)^2$

Therefore;

Complete factorization of $8x^2-8x+2$ is $2(2x-1)^2$.