If a/b+b/a=-1, find a 3 -b 3 .
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a/b+b/a=-1
a^2+b^2=-ab
a^2+b^2+ab=0---------(1)
now we know
a^3-b^3=(a-b)(a^2+b^2+ab)
according to (1)
a^3-b^3=0
a^2+b^2=-ab
a^2+b^2+ab=0---------(1)
now we know
a^3-b^3=(a-b)(a^2+b^2+ab)
according to (1)
a^3-b^3=0
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