Question

If x- =3 then find the value of x^3-1/x^3

Answer 1

Answer:

we have,

x= 3, thus 1/x = 1/3

thus , ( x-1/x) = 3-1/3= 8/3

we know that,

(x-1/x)^3 = x^3 - 1/x^3 - 3(x)(1/x)(x-1/x)

(8/3)^3 = x^3 - 1/x^3 -3×8/3

x^3 - 1/x^3 = (8/3)^3 + 8

= 512/27 + 8

= (512+216)/27

=728/27

I hope it would help you