= (1/(a-1) + 1/(a+1)) * (a+1)/a
To simplify, we first find a common denominator for the fractions:
= ((a+1) + (a-1))/(a(a-1)(a+1))
= (2a)/(a(a^2-1))
= (2a)/(a^3 - a)
= 2/(a^2 - 1)
Therefore, (1/(a-1) + 1/(a+1)) * (a+1)/a simplifies to 2/(a^2 - 1).
= (1/(a-1) + 1/(a+1)) * (a+1)/a
To simplify, we first find a common denominator for the fractions:
= ((a+1) + (a-1))/(a(a-1)(a+1))
= (2a)/(a(a^2-1))
= (2a)/(a^3 - a)
= 2/(a^2 - 1)
Therefore, (1/(a-1) + 1/(a+1)) * (a+1)/a simplifies to 2/(a^2 - 1).