$$3+ \frac{ 2B }{ A-B }$$
$\frac{3A-B}{A-B}$
$$\frac{3\left(A-B\right)}{A-B}+\frac{2B}{A-B}$$
$$\frac{3\left(A-B\right)+2B}{A-B}$$
$$\frac{3A-3B+2B}{A-B}$$
$$\frac{3A-B}{A-B}$$
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$-\frac{2B}{\left(B-A\right)^{2}}$