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](/uploads/image/z/8812605-21-5.jpg?t=2%2Fa-1+-+a%2B2%2Fa%26%23178%3B%2B8a-9+%2F+3%2F2a%2B18)
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/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