How would I simplify the problem (a / a^2-1) + (2a / a^2-a) ?

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