x3x2+1+xx2+1

Combine the numerators over the common denominator.

x3+xx2+1

Factor x out of x3.

x⋅x2+xx2+1

Raise x to the power of 1.

x⋅x2+x1x2+1

Factor x out of x1.

x⋅x2+x⋅1×2+1

Factor x out of x⋅x2+x⋅1.

x(x2+1)x2+1

x(x2+1)x2+1

Cancel the common factor.

x(x2+1)x2+1

Divide x by 1.

x

x

Add (x^3)/(x^2+1)+x/(x^2+1)