Hey, I was having problems factoring/simplifying a problem I was given involving fractional and negative exponents

This is the problem but I think I can figure out how to do it if you show me the general idea of factoring fractional exponents:

-1/2{(2x^2-x+1)^(-1/2)}(4x-1){(x^3+1)^(1/3)} + {(2x^2 -x + 1)^(1/2}(1/3){(x^3)+1}(3x^2)

Thanks in Advance