Question

a+1/a =6then find the value of a^3+1/a^3

Answer 1

Answer:

a+1/a=6

cubing on both sides

since (a+b)^3 = a^3+b^3+3ab(a+b)

a^3+(1/a)^3+3(a+1/a)=216

a^3+(1/a)^3+3(6)=216

a^3+(1/a)^3=216-18

a^3+(1/a)^3=196