If x + 1/x= 7 then find tge value of x³+ 1/x³

1.	If x + 1/x= 7 then find tge value of x³+ 1/x³
Answer» It is given that ,x + 1/x = 7We know the algebraic identity,a³ + b³ + 3ab ( a + b ) = ( a + b )³ora³ + 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 The*

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