Question

Simplify (R²-S²)³+(S²-T²)³+(T²-R²) ----------------------------------------------- (R-S)³+(S-T)³+(T-R)³ means :- (R²-S²)³+(S²-T²)³+(T²-R²) / (R-S)³+(S-T)³+(T-R)³

Answer 1

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Answer 2

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)]