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The continued product of (1 + x), (1 + x...

The continued product of `(1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and (1 - x) ` is :

A

`1 + x ^(16)`

B

`1 - x ^(16)`

C

`1 + x ^(8)`

D

`1 - x ^(8)`

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Verified by Experts

The correct Answer is:
B
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ARIHANT PUBLICATION PUNJAB-ALGEBRA -CHAPTER EXERCISE
  1. The factors of ( 2x ^(3) + 19 x ^(2) + 38 x + 21) are

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  2. Solve the expression (2x + 3y - 4z ) ^(2).

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  3. The continued product of (1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and ...

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  4. If P = ( x ^(2) - 36)/( x ^(2) - 49) and Q = ( x + 6)/(x - 7) , then ...

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  5. If a + (1)/(a) = sqrt5, then the value of a ^(6) + (1)/(a ^(6)) is

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  6. If (x ^(2))/( y ^(2)) + (y ^(2))/( x ^(2)) = 7, then the vlaue of (x ...

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  7. If x - (1)/( x) = sqrt21, then the value of (x ^(2) + (1)/( x ^(2))) (...

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  8. If x = 6, y = 4 and z = 3, then find the value of x ^(2) + y ^(2) + ...

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  9. Factorise 2x ^(2) + sqrt3 x - 3.

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  10. The LCM of two numbers is (x +y) and their HCF is p (x- y). If one of ...

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  11. If a,b are distinct primes and x, y are positive integer, the LCM of ...

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  12. Find th HCF of 16 a ^(4) b ^(3) x ^(3) 24 b ^(2) m ^(3) n ^(4) y and 2...

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  13. Find the LCM of 6x ^(2) y ^(3), 8x ^(3) y ^(2) , 12 x ^(4) y ^(3) an...

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  14. The LCM and HCF of two polyonomials P (x) and Q (x) are 2 (x ^(4) - 1...

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  15. If (x - k) is the HCF of x ^(2) + x -12 and 2x ^(2) - kx - 9, then fin...

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  16. If (x ^(2) + x - 2) is the HCF of the expressions (x - 1) (2x ^(2) + a...

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  17. If 3^(x-y) =27 and 3^(x+y) = 243, then what is the value of x?

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  18. If 2x+3y=34 and (x+y)/y=(13)/8 , then find the value of 5y+7x .

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  19. Find the value of k for which the system of equations kx - y = 2, 6x -...

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  20. A system of two simultaneous linear equations in two varables has a un...

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