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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to x2−9x+3\dfrac{x^2 - 9}{x + 3} for x≠−3x \ne -3?

  • A

    x2−3x^2 - 3

  • B

    x+3x + 3

  • C

    1x−3\dfrac{1}{x - 3}

  • D

    x−3x - 3

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Explanation

Factor numerator: x2−9=(x−3)(x+3)x^2 - 9 = (x-3)(x+3). Cancel (x+3)(x+3): result is x−3x - 3.

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