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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to (2x−1)(2x+1)(4x2+1)(2x - 1)(2x + 1)(4x^2 + 1)?

  • A

    8x4−18x^4 - 1

  • B

    (4x2−1)2(4x^2 - 1)^2

  • C

    16x4+116x^4 + 1

  • D

    16x4−116x^4 - 1

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Explanation

(2x−1)(2x+1)=4x2−1(2x-1)(2x+1) = 4x^2 - 1. Then (4x2−1)(4x2+1)=16x4−1(4x^2 - 1)(4x^2 + 1) = 16x^4 - 1.

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