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Equivalent Expressions

SAT Math· difficulty 4/5

Which is equivalent to 2x2+12x+52x^2 + 12x + 5?

  • A

    (2x+3)2−13(2x + 3)^2 - 13

  • B

    2(x+3)2−132(x + 3)^2 - 13

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  • C

    2(x−3)2+132(x - 3)^2 + 13

  • D

    2(x+3)2+132(x + 3)^2 + 13

Explanation

2(x2+6x)+5=2[(x+3)2−9]+5=2(x+3)2−18+5=2(x+3)2−132(x^2 + 6x) + 5 = 2[(x+3)^2 - 9] + 5 = 2(x+3)^2 - 18 + 5 = 2(x+3)^2 - 13.

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