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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (x2+3x)(x−2)(x^2 + 3x)(x - 2)?

  • A

    x3+3x2−6xx^3 + 3x^2 - 6x

  • B

    x3+x2−6xx^3 + x^2 - 6x

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  • C

    x3+x2+6xx^3 + x^2 + 6x

  • D

    x3−x2−6xx^3 - x^2 - 6x

Explanation

x2⋅x+x2(−2)+3x⋅x+3x(−2)=x3−2x2+3x2−6x=x3+x2−6xx^2 \cdot x + x^2(-2) + 3x \cdot x + 3x(-2) = x^3 - 2x^2 + 3x^2 - 6x = x^3 + x^2 - 6x.

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