Question

1f
a/b + b/a = -1
(a,b not equal to 0)
find value of a3-b3​

Answer 1

Answer:

a/b + b/a= -1

Take Lcm

(a2+b2)/ab= -1

a2+b2= -ab--------Equation 1

a3-b3=(a – b) (a2 + ab + b2 )

From equation 1,

a3-b3=(a-b) ( -ab+ab )

a3-b3=(a-b) (0)

Therefore, a3-b3=0

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