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If x = 2 - 2 ^(1 // 3) + 2^(2//3) , the...

If ` x = 2 - 2 ^(1 // 3) + 2^(2//3)` , then the value of ` x^(3) - 6 x ^(2) + 18 x + 18` is

A

22

B

33

C

40

D

45

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The correct Answer is:
C
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Q.18 If x=2+2^((1)/(3))+2^((2)/(3)), then the value of x^(3)-6x^(2)+6x is

LUCENT PUBLICATION-ALGEBRAIC IDENTITIES -Exercise - 1A
  1. If x= b + c - 2a , y = c + a - 2 b , z = a + b -2 c then the value o...

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  2. (y-z)^3 + (z-x)^3 + (x-y)^3 is equal to:

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  3. If x = 2 - 2 ^(1 // 3) + 2^(2//3) , then the value of x^(3) - 6 x ...

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  4. If a^(3) - b ^(3) - c^(3) - 3abc = 0 then

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  5. If x ^(2) - 3 x + 1 =0, then what is the value of x ^(3) + (1)/(x ^(3...

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  6. If 2x + (1)/(3x) = 5, the value of (5x )/( 6x ^(2) + 20 x + 1 ) is

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  7. If m + (1)/( m - 2) = 4 find the value of (m - 2) ^(2) (1)/( ( m - 2)^...

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  8. If a ^(2)= b + c, b ^(2) = a + c, c ^(2) = b +a , then what will be t...

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  9. IF (a )/( 1 - a) + (b)/( 1 - b) + (c)/(1 - c) = 1 then the value of ...

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  10. If a^(2) + b^(2) + 2b + 4a + 5 = 0 , then the value of (a - b)/( a + ...

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  11. If (x)/(( b - c) ( b + c - 2a)) = (y)/(( c - a)( c + a- 2 b)) = (z)/(...

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  12. If (x^(3) +3x)/(3x^(2)+1)=(189)/(61) then value of x is

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  13. If (x^(2)+y^(2)) (p^(2) +q^(2)) =(xp +yq)^(2) then

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  14. If (x)/(2x+y+z) =(y)/(x+2y+z) =(z)/(x+y+2z) then each terms is equal t...

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  15. If p^(2) (a^(2) +b^(2) +c^(2)) -2p (ab +bc +cd) +(b^(2) +c^(2) +d^(2))...

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  16. If b+c =10, c +a =20 , a+b =30 then value of a^(3) +b^(3) +c^(3) is

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  17. If b+c = 2x, c+a =2y and a +b =2z then value of a^(3) +b^(3) +c^(3) i...

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  18. If a+b +c =0 then value of a^(3) +b^(3) +c^(3) is

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  19. Value of (x-y)^(3) +(y-z)^(3) +(z-x)^(3) is

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  20. If a+b+c =p, abc =q and ab+bc +ca =0 then what is the value of a^(2) b...

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