Question

If x/y+y/x=-1(x,, yis not 0)find the value of x3-y3

Answer 1

According to given sum ,

x/y+y/x=-1

x/y+y/x+1=0

Taking LCM.

$\frac{ {x}^{2} + {y}^{2} + xy }{xy} = 0$

${x}^{2} + {y}^{2} + xy = 0$

By using formula.

${x}^{3} - {y}^{3} = (x - y)( {x}^{2} + {y}^{2} + xy)$

${x}^{3} - {y}^{3} = (x - y)(0)$

${x}^{3} - {y}^{3} = 0$

:-)hope it helps u.