Question

if x minus one upon x is equal to 7 find the value of x cube minus one upon x cube​

Answer 1

Answer:

343

Step-by-step explanation:

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Answer 2

Given,

(x-1/x) = 7

To find,

The value of (x³-1/x³).

Solution,

The value of (x³-1/x³) will be 364.

We can easily solve this problem by following the given steps.

According to the question,

(x-1/x) = 7

Now, to find the value of (x³-1/x³), we have to first cube both sides,

(x-1/x)³ = (7)³

On the left-hand side, we can use the identity (a-b)³ = a³-b³-3ab(a-b) to expand the expression.

In this case, a = x and b = 1/x

(x)³-(1/x)³-3(x)(1/x) (x-1/x) = 343

x³-1/x³-3(7) = 343 [Putting the value of (x-1/x)]

x³-1/x³-21 = 343

Moving 21 from the left-hand side to the right hand will result in the change of the sign from minus to plus,

x³-1/x³ = 343+21

x³-1/x³ = 364

Hence, the value of (x³-1/x³) is 364.