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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to x2−4x+4x2−4\dfrac{x^2 - 4x + 4}{x^2 - 4} for x≠±2x \ne \pm 2?

  • A

    x+2x−2\dfrac{x + 2}{x - 2}

  • B

    1x+2\dfrac{1}{x + 2}

  • C

    x−2x+2\dfrac{x - 2}{x + 2}

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  • D

    x−2x - 2

Explanation

(x−2)2(x−2)(x+2)=x−2x+2\dfrac{(x-2)^2}{(x-2)(x+2)} = \dfrac{x-2}{x+2}.

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