2/a-1 - a+2/a²+8a-9 / 3/2a+18

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2/a-1 - a+2/a²+8a-9 / 3/2a+18

2/(a-1) -( a+2)/(a²+8a-9) / 3/2a+18
=2/(a-1) - (a+2)/(a+9)(a-1)×2(a+9)/3
=2/(a-1) - (a+2)/(a-1)×2/3
=(-2a+2)/(a-1)/3
=-2/3