Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (x3)(x2+3x+9)(x - 3)(x^2 + 3x + 9)?

  • A

    x3+27x^3 + 27

  • B

    x39x^3 - 9

  • C

    x3+9x^3 + 9

  • D

    x327x^3 - 27

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Explanation

Difference of cubes pattern: (ab)(a2+ab+b2)=a3b3(a - b)(a^2 + ab + b^2) = a^3 - b^3. So x327x^3 - 27.

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