Question

if a/b+b/a= -1 , prove that a^3-b^3=0

Answer 1

here's the answer..................

Answer 2

a/b+b/a=-1

a^2+b^2/ab=-1

a^2 + b^2 = -ab. ............1

now a^3 - b^3

(a-b)(a^2+b^2+ab)

(a-b)(-ab+ab).........from1

(a-b)0

0

Therefore it is proved that a^3-b^3=0

hope u find it helpful..