Question

Check the attachment and please answer with full working..

Answer 1

Answer:

Given that,

(a^1/3+a^-1/3)(a^2/3-1+a^-2/3)

=(a^1/3+a^-1/3){(a^-1/3)^2-a^1/3×a^-1/3+(a^-1/3)^2} (using formula of cube)

=(a^1/3)^3+(a^-1/3)^3

=a+a^-1

=a+1/a

=a^2+1/a

Hope it helps u☺