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\\(x + 5)(x + 4)\\ options: - \\(x^2 + x + 20\\) - \\(x^2 + 20x + 9\\) …

Question

\\(x + 5)(x + 4)\\

options:

  • \\(x^2 + x + 20\\)
  • \\(x^2 + 20x + 9\\)
  • \\(x^2 + 9x + 20\\)
  • \\(x^2 - 9x + 54\\)

Explanation:

Multiplicar los binomios

$$ (x + 5)(x + 4) = x^2 + 4x + 5x + 20 $$

Simplificar términos semejantes

$$ x^2 + (4 + 5)x + 20 = x^2 + 9x + 20 $$

Answer:

  • (A) \(x^2 + x + 20\)
  • (B) \(x^2 + 20x + 9\)
  • (C) \(x^2 + 9x + 20\) (Correct answer)
  • (D) \(x^2 - 9x + 54\)