Question

if a /b + b/a = -1 ( a,b unequal 0 ) find the value of a cube -b cube​

Answer 1

Answer: 0

Step-by-step explanation:

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)

from (1), substituting value of a^2+b^2= -ab,

a^b-b^3= (a-b)(-ab+ab) ;(since a^2+b^2=-ab)

=>a^3-b^3= (a-b)(0)

=>a^3-b^3=0