Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to (x+2)(x22x+4)(x + 2)(x^2 - 2x + 4)?

  • A

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

  • B

    x3+4x+8x^3 + 4x + 8

  • C

    x3+8x^3 + 8

    check_circle
  • D

    x38x^3 - 8

Explanation

Sum of cubes pattern: (a+b)(a2ab+b2)=a3+b3(a + b)(a^2 - ab + b^2) = a^3 + b^3. So x3+8x^3 + 8.

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