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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to 2x3−3x2+4x−62x^3 - 3x^2 + 4x - 6?

  • A

    (2x−3)(x2−2)(2x - 3)(x^2 - 2)

  • B

    (x−3)(2x2+2)(x - 3)(2x^2 + 2)

  • C

    (2x−3)(x2+2)(2x - 3)(x^2 + 2)

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  • D

    (2x+3)(x2−2)(2x + 3)(x^2 - 2)

Explanation

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

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