Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to x3+27x^3 + 27?

  • A

    (x+3)(x23x+9)(x + 3)(x^2 - 3x + 9)

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  • B

    (x+3)3(x + 3)^3

  • C

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

  • D

    (x3)(x2+3x+9)(x - 3)(x^2 + 3x + 9)

Explanation

Sum of cubes: a3+b3=(a+b)(a2ab+b2)a^3 + b^3 = (a+b)(a^2 - ab + b^2). With a=xa = x, b=3b = 3: (x+3)(x23x+9)(x+3)(x^2 - 3x + 9).

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