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Equivalent Expressions

SAT Math· difficulty 3/5

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

  • A

    x4+1x^4 + 1

  • B

    x4−2x2+1x^4 - 2x^2 + 1

  • C

    (x2−1)2(x^2 - 1)^2

  • D

    x4−1x^4 - 1

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Explanation

(x−1)(x+1)=x2−1(x-1)(x+1) = x^2 - 1, then (x2−1)(x2+1)=x4−1(x^2 - 1)(x^2 + 1) = x^4 - 1.

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