Question

If x-1/x=7 , then find the value of . x3-1/x3

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Hope it helps u

Step-by-step explanation:

It is given that ,

x - 1/x = 7 -----( 1 )

We know the algebraic identity,

a³ + b³ + 3ab ( a + b ) = ( a + b )³

Or

a³ + b³ = ( a + b )³ - 3ab( a + b )

x³ - 1/x³ = (x - 1/x )³- 3 × x ×1/x (x - 1/x )

= ( x - 1/x )³ - 3( x - 1/x )

= 7³ - 3 × 7

= 7( 7² - 3 )

= 7 ( 49 - 3 )

= 7 × 46

= 322

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