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Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to 4x2−25y24x^2 - 25y^2?

  • A

    (2x+5y)2(2x + 5y)^2

  • B

    (2x−5y)(2x+5y)(2x - 5y)(2x + 5y)

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  • C

    (2x−5y)2(2x - 5y)^2

  • D

    (4x−25y)(x+y)(4x - 25y)(x + y)

Explanation

Difference of squares: 4x2−25y2=(2x)2−(5y)2=(2x−5y)(2x+5y)4x^2 - 25y^2 = (2x)^2 - (5y)^2 = (2x - 5y)(2x + 5y).

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