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Equivalent Expressions

SAT Math· difficulty 2/5

Which expression is equivalent to x2−49x^2 - 49?

  • A

    (x−7)2(x - 7)^2

  • B

    (x−7)(x+7)(x - 7)(x + 7)

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  • C

    (x+7)2(x + 7)^2

  • D

    (x−49)(x+1)(x - 49)(x + 1)

Explanation

Difference of squares: a2−b2=(a−b)(a+b)a^2 - b^2 = (a-b)(a+b). Here a=xa = x, b=7b = 7: (x−7)(x+7)(x-7)(x+7).

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