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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (x+1)3(x + 1)^3?

  • A

    x3+1x^3 + 1

  • B

    x3+3x2+3x+3x^3 + 3x^2 + 3x + 3

  • C

    x3+3x2+3x+1x^3 + 3x^2 + 3x + 1

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  • D

    x3+3x+1x^3 + 3x + 1

Explanation

(a+b)3=a3+3a2b+3ab2+b3(a+b)^3 = a^3 + 3a^2 b + 3ab^2 + b^3. With a=xa = x, b=1b = 1: x3+3x2+3x+1x^3 + 3x^2 + 3x + 1.

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