Question 88695
Factor:
1st: Look for a common factor in the terms of your problem:

8x^2 -32x +32

You have a common factor of 8 because each term is multiple of 8.
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Factor out the common factor, as follows;
= 8(x^2-4x+4)
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2nd: Now you try to factor the trinomial x^2-4x+4
You look for one of the following forms:
a. difference of squares
b. perfect trinomial square
c. general trinomial
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x^2-4x+4 is a perfect trinomial square:
It factors as (x-2)(x-2) or (x-2)^2
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3rd: When the factors you have need no longer be factored you are finished:
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Final Answer:
 = 8(x-2)^2
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Cheers,
Stan H.