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Equivalent Expressions

SAT Math· difficulty 4/5

The expression x2−5x+6x−2\dfrac{x^2 - 5x + 6}{x - 2} is equivalent to:

  • A

    x+3x + 3 for x≠2x \ne 2

  • B

    x−3x - 3 for all xx

  • C

    x−3x - 3 for x≠2x \ne 2

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  • D

    x2−5x+6−(x−2)=x2−6x+8x^2 - 5x + 6 - (x - 2) = x^2 - 6x + 8

Explanation

(x−2)(x−3)x−2=x−3\dfrac{(x-2)(x-3)}{x-2} = x - 3 for x≠2x \ne 2.

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