Question

If x/y + y/x = -1, where x & y not equal to 0, then the value of (x^3 - y^3) is ?


Pls give the answer with an explanation.

​

Answer 1

Step-by-step explanation:

$\frac{ {x}^{2} + {y}^{2} }{xy} = - 1 \\ {x}^{2} + {y}^{2} = - xy \\ {x}^{2} + {y}^{2} + xy = 0 \\ now \\ {x}^{3} - {y}^{3} \\ (x - y)( {x}^{2} + {y}^{2} + xy) \\ (x - y)(0) \\ 0$

Answer 2

Answer:

it's just simple factor and one should just transfer the lcm to the right side and then expand the (x^3-y^3) ur answer will be there and it's 0 by the way