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Suppose that x 2 y + xy 2 + y 3 = x 3 : Using the method of proof by contrapositive, show that if

  1. Suppose that x2y + xy2 + y3 = x3:
  2. Using the method of proof by contrapositive, show that if x and y are not both zero, then y 0.
  3. Using the method of proof by contradiction, show that if x and y are not both zero, then y

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