Question

a/b -b/a = 3, then find the value of a^3/b^3 +b^3/a^3

Answer 1

Answer:

a

1/3

+b

1/3

+c

1/3

=0

⇒a

1/3

+b

1/3

=−c

1/3

Cubing both sides

⇒(a

1/3

)

3

+(b

1/3

)

3

+3a

1/3

b

1/3

(a

1/3

+b

1/3

)=−c

⇒a+b+3a

1/3

b

1/3

(−c

1/3

)=−c

⇒a+b+c=3a

1/3

b

1/3

c

1/3

⇒(a+b+c)

3

=27abc