Write the expression in simplest form. (3x+y-1)(2x-4)-(3x+2y)^(2)

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Expand Terms: Expand the first term (3x+y-1)(2x-4). We distribute each term in the first binomial across the second binomial. (3x+y-1)(2x-4) = 3x(2x) + 3x(-4) + y(2x) + y(-4) - 1(2x) - 1(-4)Simplify Expanded Expression: Simplify the expanded expression from Step 1. 3x(2x) + 3x(-4) + y(2x) + y(-4) - 1(2x) - 1(-4) = 6x^2 - 12x + 2xy - 4y - 2x + 4Combine Like Terms: Combine like terms in the simplified expression from Step 2. 6x^2 - 12x + 2xy - 4y - 2x + 4 = 6x^2 - 14x + 2xy - 4y + 4Expand Second Term: Expand the second term (3x+2y)^(2). We use the formula (a+b)^2 = a^2 + 2ab + b^2 to expand the binomial. (3x+2y)^(2) = (3x)^2 + 2(3x)(2y) + (2y)^2Simplify Expanded Expression: Simplify the expanded expression from Step 4. (3x)^2 + 2(3x)(2y) + (2y)^2 = 9x^2 + 12xy + 4y^2Subtract Simplified Expressions: Subtract the simplified expression from Step 5 from the simplified expression from Step 3. 6x^2 - 14x + 2xy - 4y + 4 - (9x^2 + 12xy + 4y^2)Distribute Negative Sign: Distribute the negative sign across the terms in the parentheses. 6x^2 - 14x + 2xy - 4y + 4 - 9x^2 - 12xy - 4y^2Combine Like Terms: Combine like terms in the expression from Step 7. 6x^2 - 9x^2 - 14x - 12xy + 2xy - 4y^2 - 4y + 4 = -3x^2 - 14x - 10xy - 4y^2 - 4y + 4

Write the expression in simplest form. $\newline$ $(3 x+y-1)(2 x-4)-(3 x+2 y)^{2}$

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Write the expression in simplest form.\newline(3x+y−1)(2x−4)−(3x+2y)2 (3 x+y-1)(2 x-4)-(3 x+2 y)^{2} (3x+y−1)(2x−4)−(3x+2y)2

Write the expression in simplest form. $\newline$ $(3 x+y-1)(2 x-4)-(3 x+2 y)^{2}$