[tex]\frac{5}{4a+8}-\frac{1}{3a+6}= \\ \\ \frac{1}{a^{2}-ab}-\frac{1}{ab-b^{2}}= \\ \\ \frac{a}{a-b}+\frac{a^{2}+b^{2}}{b^{2}-a^{2}}+\frac{a}{a+b} \\ \\ \frac{a}{4-a^{2}}-\frac{2+a}{2a-4}-\frac{2-a}{4-2a}[/tex]
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