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Question: simplifications and fractional powers

Question:simplifications and fractional powers

marco 20 Maple
January 21 2009
0
Hi, have a problem with expressions of the following type: -s^3*t^2+t^2*s+t*(1-s*t-s+s^2*t)^(2/5)*(-1+s*t)^(3/5)*(-1+s)^(3/5)*s+s*t+s-1-t+(1-s*t-s+s^2*t)^(2/5)*(-1+s*t)^(3/5)*(-1+s)^(3/5)*t+(1-s*t-s+s^2*t)^(2/5)*(-1+s*t)^(3/5)*(-1+s)^(3/5); Using simplify does not work. However, when I manually collect all terms with fractional powers so that the expression becomes -s^3*t^2+t^2*s+t*((1-s*t-s+s^2*t)^(2)*(-1+s*t)^(3)*(-1+s)^(3))^(1/5)*s+s*t+s-1-t+((1-s*t-s+s^2*t)^(2)*(-1+s*t)^(3)*(-1+s)^(3))^(1/5)*t+((1-s*t-s+s^2*t)^(2)*(-1+s*t)^(3)*(-1+s)^(3))^(1/5); then I can use simplify(%, symbolic) to show that it's zero. My question is, how can I achieve this without manual intervention? I was playing with the various options for simplify and also with the expand command, but without success. Thanks for your help!
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