Question

iF x/y+y/x=-1 such that x, y not equal to 0 then find value of x cube - y cube

Answer 1

Answer:

x/y + y/x = -1

taking LCM

x square + y square/xy= -1

x2 +y2 = -xy

x2+ y2 - xy = 0. _(1)

also

x3-y3

(applying identity)

(x - y)(x2 + y2 + xy)

putting value from (1)

(x-y) × 0

= 0

ans. zero