Question

If x+1/x =7 then what is the value of x³+1/x³

Answer 1

Answer:

x³ + 1/x³ = 322

Step-by-step explanation:

We will be using the Identity of  =>( a + b) ³ = a³ + b³ + 3ab ( a + b )

Given,

x + 1/x = 7 .

Now,

Cubing on both sides,

( x + 1/x)³ = 7³

x³ + 1/x³ + 3x(1/x) ( x + 1/x) = 343

x³ + 1/x³ = 343 - 3 ( 7)

x³ + 1/x³ = 322

HOPE THE ANSWERS IS CORRECT.