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Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^...

Find `(a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2))`, if `x= a^(2) + b^(2) and y= ab sqrt2`

A

`x+y`

B

`x-2y`

C

`x-y`

D

`x+2y`

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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
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  2. Which one of the following is not a factor of this polynomial x^(8) + ...

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  3. Find (a^(4) +b^(4))/(a^(2)-ab sqrt2 + b^(2)), if x= a^(2) + b^(2) and ...

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  4. If a^(4) + a^(2)b^(2) + b^(4) = 12, a^(2) + ab+ b^(2)=4, find ab

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  5. If a^(4) + a^(2) b^(2) +b^(4)=8, a^(2) + b^(2) + ab= 4 find ab

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  6. If x^(4) + y^(4)=19 and x+y=1 find x^(2)y^(2)-2xy

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  7. Factor of x^(2)-x^(26)-x^(23) +1

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  8. If (x-2) is a factor of polynomial x^(2) + kx+4. Find the value of k

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  9. If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1). Find the value ...

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  10. If (x+1) and (x-1) are factor of ax^(3) + bx^(2) + 3x+5. Find the valu...

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

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  12. (x^(2)-7x+15)/(x-3), find remainder

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  13. If x^(2)+x+4 is divided by (x-1), find the remainder

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  14. If x^(11) +3 is divided by (x+1), find the remainder

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  15. If x^(51) +51 is divided by x+1 , then the remainder is

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  16. If x^(40)+3 is dividied by x^(4)+1, find the remainder

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  17. x^(35) +3 is divided by x^(5)+1, find remainder

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  18. If x^(2) + bx + 7 is divided by (x-1) leaves remainder 12 find b?

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  19. If 2x^(2) +kx + 8 is divided by (x+2) leaves remainder 3k find k =?

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  20. x^(2) + 4x + k is divided by (x-2) leaves remainder 2x, find k

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