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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to (x−2)3(x - 2)^3?

  • A

    x3+6x2+12x+8x^3 + 6x^2 + 12x + 8

  • B

    x3−6x2+12x−8x^3 - 6x^2 + 12x - 8

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  • C

    x3−8x^3 - 8

  • D

    x3−6x2−12x−8x^3 - 6x^2 - 12x - 8

Explanation

(a−b)3=a3−3a2b+3ab2−b3=x3−6x2+12x−8(a-b)^3 = a^3 - 3a^2 b + 3ab^2 - b^3 = x^3 - 6x^2 + 12x - 8.

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