Question

(2x+3y) (3x -y)-(x-4y) (4x - 3y)
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Answer 1

$(2x + 3y) (3x - y) - (x - 4y)(4x - 3y) \\ = 2x(3x - y) - 3y(3x - y) - x(4x - 3y) - 4y(4x - 3y) \\ = 6 {x}^{2} - 2xy - 9xy + 3 {y}^{2} - 4 {x}^{2} + 3xy - 16xy + 12 {y}^{2} \\ = 6 {x}^{2} - 4 {x}^{2} - 2xy - 9xy + 3xy - 16xy + 3 {y}^{2} + 12 {y}^{2} \\ = 2 {x}^{2} - 24xy + 15 {y}^{2} \\ answer = 2 {x}^{2} - 24xy + 15 {y}^{2}$

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