Pls ans que 5.... Give steps. Best ans will be marked brainliest ✨✨.
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mysticd:
is it ( x³ + 1/x³ )
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1
__________________________
We know the algebraic identity:
a³ + b³ + 3ab( a + b ) = ( a + b )³
Or
a³ + b³ = ( a + b )³ - 3ab( a + b )
___________________________
Here ,
x + 1/x = √3 ----( 1 )
Now ,
x³ + 1/x³ = ( x + 1/x )³ - 3.x.1/x(x + 1/x )
= ( √3 )³ - 3( √3 ) [ from ( 1 ) ]
= 3√3 - 3√3
= 0
Therefore ,
Option ( a ) is correct.
•••••
We know the algebraic identity:
a³ + b³ + 3ab( a + b ) = ( a + b )³
Or
a³ + b³ = ( a + b )³ - 3ab( a + b )
___________________________
Here ,
x + 1/x = √3 ----( 1 )
Now ,
x³ + 1/x³ = ( x + 1/x )³ - 3.x.1/x(x + 1/x )
= ( √3 )³ - 3( √3 ) [ from ( 1 ) ]
= 3√3 - 3√3
= 0
Therefore ,
Option ( a ) is correct.
•••••
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