Equivalent Expressions

SAT Math· difficulty 4/5

Which expression equals x2y2x^2 - y^2 when xy=5x - y = 5 and x+y=7x + y = 7?

  • A

    1212

  • B

    3535

    check_circle
  • C

    22

  • D

    2424

Explanation

x2y2=(xy)(x+y)=57=35x^2 - y^2 = (x-y)(x+y) = 5 \cdot 7 = 35.

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