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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to −x2+6x−4-x^2 + 6x - 4?

  • A

    −(x−3)2−5-(x - 3)^2 - 5

  • B

    −(x−3)2+5-(x - 3)^2 + 5

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  • C

    (3−x)2+5(3 - x)^2 + 5

  • D

    −(x+3)2+5-(x + 3)^2 + 5

Explanation

Factor out −1-1: −(x2−6x)−4=−[(x−3)2−9]−4=−(x−3)2+9−4=−(x−3)2+5-(x^2 - 6x) - 4 = -[(x-3)^2 - 9] - 4 = -(x-3)^2 + 9 - 4 = -(x-3)^2 + 5.

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