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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to 2x2−84x+8\dfrac{2x^2 - 8}{4x + 8} for x≠−2x \ne -2?

  • A

    x−2x - 2

  • B

    x2−42\dfrac{x^2 - 4}{2}

  • C

    x+22\dfrac{x + 2}{2}

  • D

    x−22\dfrac{x - 2}{2}

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Explanation

2(x−2)(x+2)4(x+2)=x−22\dfrac{2(x-2)(x+2)}{4(x+2)} = \dfrac{x-2}{2}.

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