Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to 6x2x16x^2 - x - 1?

  • A

    (3x+1)(2x1)(3x + 1)(2x - 1)

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  • B

    (6x+1)(x1)(6x + 1)(x - 1)

  • C

    (6x1)(x+1)(6x - 1)(x + 1)

  • D

    (3x1)(2x+1)(3x - 1)(2x + 1)

Explanation

AC method: 6(1)=66 \cdot (-1) = -6. Two numbers multiplying to 6-6, summing to 1-1: 3-3 and 22. 6x23x+2x1=3x(2x1)+1(2x1)=(3x+1)(2x1)6x^2 - 3x + 2x - 1 = 3x(2x-1) + 1(2x-1) = (3x+1)(2x-1).

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