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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to x2−9x^2 - 9?

  • A

    (x−3)(x+3)(x - 3)(x + 3)

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  • B

    (x−9)(x+1)(x - 9)(x + 1)

  • C

    (x+3)2(x + 3)^2

  • D

    (x−3)2(x - 3)^2

Explanation

Difference of squares: a2−b2=(a−b)(a+b)a^2 - b^2 = (a - b)(a + b), so x2−9=(x−3)(x+3)x^2 - 9 = (x - 3)(x + 3).

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