Question

If a 1/a =6 find a^3 1/a^3

Answer 1

Hi,

Explanation:

`a+(1)/(a) =6\\\\(a+(1)/(a))^3 =6^3\\\\a^3+(1)/(a^3) +3(a+(1)/(a))=216\\\\a^3+(1)/(a^3) =216-3*6\\\\\boxed{a^3+(1)/(a^3) =198}\\`