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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to 3x2−12x−363x^2 - 12x - 36?

  • A

    (3x−6)(x+6)(3x - 6)(x + 6)

  • B

    3(x−6)(x−2)3(x - 6)(x - 2)

  • C

    3(x+6)(x−2)3(x + 6)(x - 2)

  • D

    3(x−6)(x+2)3(x - 6)(x + 2)

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Explanation

Factor out 3: 3(x2−4x−12)3(x^2 - 4x - 12). Then x2−4x−12=(x−6)(x+2)x^2 - 4x - 12 = (x - 6)(x + 2).

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