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= (a+1)(3a+1) / (2a-3)(a+1) +
6(2a-3) / (2a-3)(a+1)
= 3a²+a+3a+1+12a-18 / (2a-3)(a+1)
= 3a²+16a-17 / (2a-3)(a+1)
(3a +1)(a+1)/(2a-3)(a+1)+6(2a-3)/(2a-3)(a+1)
=(3a^2 + 4a +1 +12a -18)/(2a^2+2a-3a-3)
=(3a^2+16a-17)/(2a^2-a-3)