Hi

(a^-2 + a) / a + 1



(1 + a^3) / a^2(a + 1) Multiplying numerator and denominator by a^2



(a^3 +1) / a^2(a + 1)



(a +1)(a^2 -a +1) / a^2(a + 1) factoring out (a+1) in the numerator



(a^2 -a +1) / a^2  Simplifying



 

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