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390f Combine multiplication or division of algebraic fractions, requiring prior factorisation of the denominators, with an addition or subtraction.

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Express

\begin{array}{r} \frac{3 x^{2} - x - 2}{2 x + 1} \times \frac{x^{2} + 3 x}{3 x^{2} + 11 x + 6} - x + 4 \end{array}

as a single fraction in the form $\begin{array}{r} \frac{a x^{2} + b x + c}{d x + e} \end{array}$

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