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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (x−4)2−9(x - 4)^2 - 9?

  • A

    x2−16−9x^2 - 16 - 9

  • B

    (x−7)(x−1)(x - 7)(x - 1)

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  • C

    (x−4−9)(x−4+9)(x - 4 - 9)(x - 4 + 9)

  • D

    (x−4)(x+3)(x - 4)(x + 3)

Explanation

Difference of squares: (x−4)2−32=(x−4−3)(x−4+3)=(x−7)(x−1)(x-4)^2 - 3^2 = (x-4-3)(x-4+3) = (x-7)(x-1).

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