school
Acemy

Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to x3−8x^3 - 8?

  • A

    (x−2)3(x - 2)^3

  • B

    (x−2)(x2−2x+4)(x - 2)(x^2 - 2x + 4)

  • C

    (x+2)(x2−2x+4)(x + 2)(x^2 - 2x + 4)

  • D

    (x−2)(x2+2x+4)(x - 2)(x^2 + 2x + 4)

    check_circle

Explanation

Difference of cubes: a3−b3=(a−b)(a2+ab+b2)a^3 - b^3 = (a - b)(a^2 + ab + b^2), so x3−8=(x−2)(x2+2x+4)x^3 - 8 = (x - 2)(x^2 + 2x + 4).

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forwardPredict my AP score

Related questions

auto_awesomeAll Toolsquestion_answerHomework Q&Amenu_bookAP & SAT PreptimelineLearn Mode