Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to 2x2+6xx2+6x+9\dfrac{2x^2 + 6x}{x^2 + 6x + 9} for x3x \ne -3?

  • A

    2xx3\dfrac{2x}{x - 3}

  • B

    2xx+3\dfrac{2x}{x + 3}

    check_circle
  • C

    2x+3\dfrac{2}{x + 3}

  • D

    2x2x

Explanation

Numerator: 2x(x+3)2x(x + 3). Denominator: (x+3)2(x+3)^2. Cancel: 2xx+3\dfrac{2x}{x+3}.

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