(a+1/a²-a + 4/1-a² )÷a-1/a²+3a 其中a=-5/3

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(a+1/a²-a + 4/1-a² )÷a-1/a²+3a 其中a=-5/3
(a+1/a²-a + 4/1-a² )÷a-1/a²+3a 其中a=-5/3

(a+1/a²-a + 4/1-a² )÷a-1/a²+3a 其中a=-5/3
(a+1/a²-a + 4/1-a² )÷a-1/a²+3a 其中a=-5/3
=[(a+1)/a(a-1)-4/(a-1)(a+1)]÷(a-1)/a(a+3)
=[(a²+2a+1-4a)/a(a-1)(a+1)]*a(a+3)/(a-1)
=(a²-2a+1)*(a+3)/[(a+1)(a-1)²]
=(a+3)/(a+1)
=(-5/3+3)/(-5/3+1)
=(4/3)/(-2/3)
=-2