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Expand and simplfy (x - y)(x + y)

  • A.x² - 2xy + y²
  • B.x² + 2xy + y²
  • C.x² - y²
  • D.x² + y²

Answer: C

\[ (x-y)(x+y) = x^{2} + xy - xy - y^{2} = x^{2} - y^{2} \]

The two middle terms cancel, which is exactly the difference-of-squares identity. The options with \( \pm 2xy \) are the expansions of \( (x \mp y)^{2} \).

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