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Question
simplify the following expression.
$(-x + 3)(2x - 4)$
$?x^{2} + \\ x + \\ $
Step1: Apply FOIL method
$(-x)(2x) + (-x)(-4) + 3(2x) + 3(-4)$
Step2: Calculate each term
$-2x^2 + 4x + 6x - 12$
Step3: Combine like terms
$-2x^2 + (4x+6x) - 12 = -2x^2 + 10x - 12$
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$-2x^2 + 10x - 12$
(The coefficients are -2, 10, -12 respectively for the $x^2$, $x$, and constant terms)