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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to x+3x−2⋅x−2x2−9\dfrac{x + 3}{x - 2} \cdot \dfrac{x - 2}{x^2 - 9} for valid xx?

  • A

    x−3x - 3

  • B

    x+3x−3\dfrac{x + 3}{x - 3}

  • C

    1x+3\dfrac{1}{x + 3}

  • D

    1x−3\dfrac{1}{x - 3}

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Explanation

(x+3)(x−2)(x−2)(x−3)(x+3)=1x−3\dfrac{(x+3)(x-2)}{(x-2)(x-3)(x+3)} = \dfrac{1}{x - 3}.

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