Equivalent Expressions

SAT Math· difficulty 5/5

Which is equivalent to x2+5x+6x2+4x+3\frac{x^2 + 5x + 6}{x^2 + 4x + 3}?

  • A

    x+6x+3\frac{x + 6}{x + 3}

  • B

    x+2x+3\frac{x + 2}{x + 3}

  • C

    x+2x+1\frac{x + 2}{x + 1}

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  • D

    x+3x+1\frac{x + 3}{x + 1}

Explanation

(x+2)(x+3)(x+1)(x+3)=x+2x+1\frac{(x + 2)(x + 3)}{(x + 1)(x + 3)} = \frac{x + 2}{x + 1} (for x3x \neq -3).

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