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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to x3−3x2−4x+12x^3 - 3x^2 - 4x + 12?

  • A

    (x−3)(x2+4)(x - 3)(x^2 + 4)

  • B

    (x−3)(x−2)(x+2)(x - 3)(x - 2)(x + 2)

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  • C

    (x−3)(x−2)2(x - 3)(x - 2)^2

  • D

    (x+3)(x−2)(x+2)(x + 3)(x - 2)(x + 2)

Explanation

Group: x2(x−3)−4(x−3)=(x−3)(x2−4)=(x−3)(x−2)(x+2)x^2(x - 3) - 4(x - 3) = (x - 3)(x^2 - 4) = (x-3)(x-2)(x+2).

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