Question

if a/b + b/a = -1, then a^3 - b^3​

Answer 1

Answer:

Step-by-step explanation: (a2 + b2)3/2

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Answer 2

Step-by-step explanation:

(a/b) + (b/a) = 2/3

(a2 + b2)/ab = 2/3

3(a2 + b2) = 2ab

Multiplying with a2b2 on both sides :

3a2b2(a2 + b2) = 2a3b3

Now, adding a6 + b6 on both sides :

a6 + b6 + 3a2b2(a2 + b2) = a6 + b6 + 2a3b3

(a2 + b2)3 = (a3 + b3)2

(a3 + b3) = (a2 + b2)3/2