Find the product:

(3m − 4n)(2m − 3n)

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Solution

$(3 m - 4 n) (2 m - 3 n) = 3 m \times (2 m - 3 n) - 4 n \times (2 m - 3 n) = (3 m \times 2 m - 3 m \times 3 n) - (4 n \times 2 m - 4 n \times 3 n) = 6 m^{2} - 9 mn - 8 nm + 12 n^{2} = 6 m^{2} - 17 mn + 12 n^{2}$

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