Explanation The given fraction is, x 2 − 4 x + 4 x 2 − 4 . Change the numerator from x 2 − 4 x + 4 to x 2 − 4 x − 12 . Then, the new fraction becomes x 2 − 4 x − 12 x 2 − 4 . Reduce the fraction into its lowest form as follows. x 2 − 4 x − 12 x 2 − 4 = x 2 − 6 x + 2 x − 12 x 2 − 2 2 = x ( x − 6 ) + 2 ( x − 6 ) ( x − 2 ) ( x + 2 ) ( Factorize ) = ( x − 6 ) ( x + 2 ) ( x − 2 ) ( x + 2 )

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Chapter 6.4, Problem 1E

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To change: The numerator to x2−4x−12 in the fraction x2−4x+4x2−4 and then simplify it.

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Chapter 6.4, Problem 4PE

Chapter 6.4, Problem 2E

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To change: The numerator to x 2 − 4 x − 12 in the fraction x 2 − 4 x + 4 x 2 − 4 and then simplify it.

Solution Summary: The author explains how to change the numerator to x2-4x-12 and simplify it.

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To change: The numerator to x2−4x−12 in the fraction x2−4x+4x2−4 and then simplify it.

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