Part of the tension within Cream resulted from the fact that Peter Brown, Jack Bruce's song writing partner, was making more money than either Eric Clapton or Ginger Baker. Bruce/Brown were prolific songwriters and at that time publishing and copywrite royalties could generate more money than record sales. Additionally, Bruce/Brown wrote quirky pop/rock tunes whereas Clapton tilted more towards riff based blues/rock. And then there was the constant Ginger vs. Jack feud. Over time these tensions added up and the band could not survive.
I much prefer Jack Bruce's post Cream output over Eric Clapton's.