Question

if x +1/x= 11 , find the value of x cube + 1 / x cube​

Answer 1

Answer:

(x+1/x)^3=3

(x+1x)^3=3^3

x^3+3x^2 1/x+3.x.1/x^2+1/x^3=27

(x^3+1x^3)+3.x^2.1/x+3.x.1/x^2=27

x^3+1/x^3+(3x+3/x)=27

x^3+1/x^3+3(x+1/x)=27

x^3+1/x^3+3×3=27

x^3+1/x^3+9=27

x^3+1/x^3=18