Equivalent Expressions

SAT Math· difficulty 3/5

Which expression is equivalent to (x+y)2(xy)2(x + y)^2 - (x - y)^2?

  • A

    4x24y24x^2 - 4y^2

  • B

    2x2+2y22x^2 + 2y^2

  • C

    2xy2xy

  • D

    4xy4xy

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Explanation

(x+y)2(xy)2=(x2+2xy+y2)(x22xy+y2)=4xy(x+y)^2 - (x-y)^2 = (x^2 + 2xy + y^2) - (x^2 - 2xy + y^2) = 4xy.

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