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select the correct answer. simplify the expression \\((2x - 9)(x + 6)\\…

Question

select the correct answer.

simplify the expression \\((2x - 9)(x + 6)\\).

\\(2x^2 - 3x - 54\\)

\\(2x^2 + 21x - 54\\)

\\(2x^2 - 54\\)

\\(2x^2 + 3x - 54\\)

Explanation:

Expand the binomial product

$$ (2x - 9)(x + 6) = 2x(x) + 2x(6) - 9(x) - 9(6) $$

Perform individual multiplications

$$ 2x^2 + 12x - 9x - 54 $$

Combine like terms

$$ 2x^2 + 3x - 54 $$

Answer:

  • (A) \(2x^2 - 3x - 54\)
  • (B) \(2x^2 + 21x - 54\)
  • (C) \(2x^2 - 54\)
  • (D) \(2x^2 + 3x - 54\) (Correct answer)