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