Question

if x/y + y/x =1, (x,y≠0) , the vale of x³-y³ is?​

Answer 1

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Step-by-step explanation:

x/y+y/x=-1

=x²+y²/xy=-1

=x²+y²=-1×xy

=x²+y²=-xy

=x²+y²+xy=0

x³-y³=(x-y)(x²+xy+y²) we got from equation (i) x²+xy+y²=0

=(x-y)(0)

=0