Answer:
Step-by-step explanation:
8x^2 - 8x + 2
2(4x^2 - 4x + 1)
2(2x - 1)(2x - 1) or 2(2x - 1)^2
answer is C
The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.
We have,
[tex]8x^2 - 8x + 2[/tex]
Using the mid term splitting method;
[tex]=8x^2-4x-4x+2[/tex]
[tex]=4x(2x-1)-2(2x-1)[/tex]
[tex]=(4x-2)(2x-1)[/tex]
[tex]=2(2x-1)(2x-1)[/tex]
[tex]=2(2x-1)^2[/tex]
So, the factorization of the given expression is given in option [tex](c)[/tex] i.e. [tex]2(2x-1)^2[/tex] .
Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be [tex]2(2x-1)^2[/tex] .
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