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Expand and simplfy (x - 5)(x + 4)

  • A.x² + 9x - 20
  • B.x² - x - 9
  • C.x² - x - 1
  • D.x² - x - 20

Answer: D

\[ (x-5)(x+4) = x^{2} + 4x - 5x - 20 \]

\[ = x^{2} - x - 20 \]

The constants \( -5 \) and \( +4 \) sum to \( -1 \) for the middle term and multiply to \( -20 \) for the last.

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