Question

x-1/x=3 then x3-1/x3=?​

Answer 1

Step-by-step explanation:

x+1x=3x+1x=3

(x+1x)3=33(x+1x)3=33

x3+3.x2.1x+3.x.1x2+1x3=27x3+3.x2.1x+3.x.1x2+1x3=27

(x3+1x3)+3.x2.1x+3.x.1x2=27(x3+1x3)+3.x2.1x+3.x.1x2=27

x3+1x3+(3x+3x)=27x3+1x3+(3x+3x)=27

x3+1x3+3(x+1x)=27x3+1x3+3(x+1x)=27

x3+1x3+3×3=27x3+1x3+3×3=27

x3+1x3+9=27x3+1x3+9=27

x3+1x3=18x3+1x3=18

Therefore the answer is 18