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Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to x2−4x+4x−2\frac{x^2 - 4x + 4}{x - 2} (for x≠2x \neq 2)?

  • A

    1x−2\frac{1}{x - 2}

  • B

    x+2x + 2

  • C

    x2−2x^2 - 2

  • D

    x−2x - 2

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Explanation

x2−4x+4=(x−2)2x^2 - 4x + 4 = (x - 2)^2, so (x−2)2x−2=x−2\frac{(x - 2)^2}{x - 2} = x - 2.

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