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Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to x2−9x2−6x+9\frac{x^2 - 9}{x^2 - 6x + 9}?

  • A

    x−3x+3\frac{x - 3}{x + 3}

  • B

    x+3x + 3

  • C

    x+3x−3\frac{x + 3}{x - 3}

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  • D

    1x−3\frac{1}{x - 3}

Explanation

(x−3)(x+3)(x−3)2=x+3x−3\frac{(x - 3)(x + 3)}{(x - 3)^2} = \frac{x + 3}{x - 3} (for x≠3x \neq 3).

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