Simplify: $(3.5 e - 4.5 f) (1.5 e + 4 f + e f) - 4.5 e + 10 f$ .

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Solution

$\begin{matrix} (3.5 e - 4.5 f) (1.5 e + 4 f + e f) - 5 e + 10 f 5.25 e^{2} + 140 e f + 3.5 e^{2} f - 6.75 e f - 18 f^{2} - 4.5 e f^{2} - 5 e + 10 f 5.25 e^{2} - 18 f^{2} + 3.5 e^{2} f - 4.5 e f^{2} - 146.75 e f - 5 e + 10 f \end{matrix}$

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