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Equivalent Expressions

SAT Math· difficulty 4/5

Which is the complete factorization of x4−81x^4 - 81?

  • A

    (x−3)2(x+3)2(x - 3)^2 (x + 3)^2

  • B

    (x2−9)(x2+9)(x^2 - 9)(x^2 + 9)

  • C

    (x−3)(x+3)(x2+9)(x - 3)(x + 3)(x^2 + 9)

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  • D

    (x−9)(x+9)(x2+1)(x - 9)(x + 9)(x^2 + 1)

Explanation

x4−81=(x2−9)(x2+9)=(x−3)(x+3)(x2+9)x^4 - 81 = (x^2 - 9)(x^2 + 9) = (x-3)(x+3)(x^2 + 9).

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