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Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3)...

Find `(x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)`

A

12 xyz

B

24 xyz

C

36 xyz

D

0

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The correct Answer is:
B
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KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
  1. If x = 19 and y = 18 then the value of ( x^(2) + y^(2) + xy)/( x^(3...

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  2. If x + (1)/( x) = 2 and x is real , then the value of x^(17) + (...

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  3. Find (x+y+z)^(3)-(x+y-z)^(3)-(y+z-x)^(3) -(z + x-y)^(3)

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  4. If x = - 1 , then the value of (1)/( x^(99)) + (1)/( x^(98)) + (1)/...

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

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  6. If x = 3 sqrt(5) + 2 , then the value of x^(3) - 6 x ^(2) + 12 x ...

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  7. If x + y = a and xy = b^(2) then the value of x^(3) - x^(2) y - x...

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  8. If x + y = 15 then ( x - 10 )^(3) + ( y - 5)^(3) is

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  9. If x ^(2) + (1)/( x^(2)) = 66 then the value of ( x^(2) - 1 + 2x)/(...

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  10. If a^(2) + a + 1 = 0 then the value of a^(9) is

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  11. If x + (2)/(x) =1, then the value fo (x ^(2) + x + 2)/( x ^(2) (1-x)) ...

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  12. If x = k ^(3) - 3 k^( 2) and y = 1 - 3 k then for what value of k, ...

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  13. Find the value of sqrt (( x^(2) + y^(2) +z) ( x + y - 3 z))+ 3 sqrt(...

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  14. The simplest form of the expression (p^(2) - p)/( 2 p^(3) + 6 p^(2...

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  15. If a, b, c be all positive integers, then the least positive value ...

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  16. When f(x) = 12 x^(3) - 13 x^(2) - 5 x + 7 is divided by ( 3 x + ...

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  17. If ab + bc + ca = 0, then the value of 1/(a^2-bc) + 1/(b^2-ca) + 1/(c^...

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  18. If the equation 2 x^(2) - 7 x + 12 = 0 has two roots alpha and beta ...

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  19. If x^(3)+ (3)/(x) = 4 ( a^(3) + b^(3)) and 3 x + (1)/( x^(3)) = 4 (...

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  20. If (p)/(a) + (q)/(b) + (r )/(c )=1 " & " (a)/(p) + (b)/(q) + (c )/(r )...

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