a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)

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a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)a^2/(a^-4)+4/(a+

a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)
a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)

a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)
a^2/(a^-4)+4/(a+2-a^2)+(4a-4)/(a^4-5a^2+4)
=a^2/(a-2)(a+2)-4/(a-2)(a+1)+4/(a+1)(a-2)(a+2)
=(a^2(a+1)-4(a+2)+4)/(a+1)(a-2)(a+2)
=(a^3+a^2-4a-4)/(a+1)(a-2)(a+2)
=(a+1)(a-2)(a+2)/(a+1)(a-2)(a+2)
=1