Question

if x-1/x=7 find the value of x^3-1/x^3​

Answer 1

Answer:

364 is the answer

Step-by-step explanation:

x-1/X = 7

cube both side we get

x^3- 1/x^3 -3x×1/X(x-1/X) = 343 ( (a-b)^3= a^3-b^3- 3ab(a-b)

x^3-1/x^3 -3(7) = 343

x^-1/x^3 -21 = 343

x^3-1/x^3 = 343+21

x^3-1/x^3 = 364

hope you understand it.