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Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to x4−16x^4 - 16?

  • A

    (x−2)2(x+2)2(x - 2)^2 (x + 2)^2

  • B

    (x−2)(x+2)(x2+4)(x - 2)(x + 2)(x^2 + 4)

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  • C

    (x−4)(x+4)(x - 4)(x + 4)

  • D

    (x2−4)2(x^2 - 4)^2

Explanation

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

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