GRE Problem Solving Question 220

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Source: Monkey

The operation ⊙ is defined for all real numbers x and y by the equation x ⊙y = x^2 + y^2 -xy. Each of the following must be true EXCEPT

  • A x⊙x=x^2
  • B x⊙y=y⊙x
  • C x⊙1=x
  • D x⊙0=x^2
  • E x⊙y=(-x)⊙(-y)

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