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How is the ratio x (2 power) -4, x(2power) 4x 4 reduced

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There are some missing signs.  I'm guessing that you mean (x^2-4)/(x^2+4x+4) where both numerator and denominator can be factored as

(x+2)(x-2)/((x+2)(x+2)) which simplifies to (x-2)/(x+2)

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