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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to (x2+x+1)(x−1)(x^2 + x + 1)(x - 1)?

  • A

    x3+2x2−1x^3 + 2x^2 - 1

  • B

    x3+x−1x^3 + x - 1

  • C

    x3+1x^3 + 1

  • D

    x3−1x^3 - 1

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Explanation

Difference of cubes: (x−1)(x2+x+1)=x3−1(x - 1)(x^2 + x + 1) = x^3 - 1.

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