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Factor this expression completely

8x^2-32x+32

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Final answer:

The completely factored form of the expression 8x^2 - 32x + 32 is 8(x - 2)(x - 2).

Step-by-step explanation:

To factor the expression completely, we can start by finding the greatest common factor (GCF) of the coefficients. In this case, the GCF is 8.

So, we can factor out 8 from each term.

After factoring out 8, we have:

8(x^2 - 4x + 4)

The expression inside the parentheses is a perfect square trinomial which can be further factored as:

8(x - 2)(x - 2)

So the completely factored form of the expression 8x^2 - 32x + 32 is 8(x - 2)(x - 2).

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