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Equivalent Expressions

SAT Math· difficulty 4/5

Which expression is equivalent to x2+8x+5x^2 + 8x + 5?

  • A

    (x+4)2+11(x + 4)^2 + 11

  • B

    (x+4)2−11(x + 4)^2 - 11

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  • C

    (x−4)2−11(x - 4)^2 - 11

  • D

    (x+4)2−5(x + 4)^2 - 5

Explanation

Complete the square: x2+8x=(x+4)2−16x^2 + 8x = (x+4)^2 - 16. So x2+8x+5=(x+4)2−11x^2 + 8x + 5 = (x+4)^2 - 11.

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