factories r^3(s-t)^3+s^3(t-r)^3+t^3(r-s)^3
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Answer:
r(s-t) + s(t-r) + t(r-s)
=rs -rt +st -sr +tr -ts
=0
∵a+b+c= 0
∴a³+b³+c³ = 3abc
r³(s-t)³ +s³(t-r)³ +t³(r-s)³ = 3[r(s-t)][s(t-r)][t(r-s)]
=3rst(s-t)(t-r)(r-s
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