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Factorize 1 + x^(4) + x^(8)...

Factorize
`1 + x^(4) + x^(8)`

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The correct Answer is:
`(x^(4) - x^(2) + 1) (x^(2) + x + 1) (x^(2) - x + 1)`
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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 3
  1. Resolve the following into factor. x^(3) - 9 x - 10

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  2. Resolve the following into factor. a^(2) (b - c) + b^(2) (c - a) + c...

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  3. Factorize 1 + x^(4) + x^(8)

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  4. Factorize x^(4) + 4

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  5. If a/b=c/d=e/f and (2a^4b^2+3a^2c^2-5e^4f)/(2b^6+3b^2d^2-5f^5)=(a/b)^n...

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  6. Which is greater log(2)3 " or " log(1//2) 5

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  7. Which is greater log(7) 11 " or " log(8) 5

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  8. Find the value oflog(1//3)root(4)(729*root(3)(9^(-1)*27^(-4//3))).

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  9. The value of a ^(logb (logb x)/(logb a)) is

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  10. Find the value of 4^(5log(4sqrt2)(3-sqrt6)-6log8(sqrt3-sqrt2)).

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  11. Compute the following (81^(1/((log)5 9))+3^(3/((log)(sqrt(6))3)))/(409...

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  12. 5^(log(1/5)(1/2)) +log(sqrt(2)) (4/(sqrt(7)+sqrt(3)))+log(1/2)(1/(10+2...

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  13. a) Calculate: 4^(5log(4sqrt(2))(3-sqrt(6))-6log(e)(sqrt(3)-sqrt(2))) ...

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  14. (a) Which is smaller ? 2 or (log(pi) 2 + log(2) pi). (b) Prove t...

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  15. Let A denotes the value of log10 {(ab+sqrt((ab)^2-4(a+b)))/2}+log10 {l...

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  16. Solve following log equation x^((logx+5)/3)=10^(5+logx)

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  17. If x, where 0,1,2 are respectively the values of x satisfying the equa...

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  18. log(4)(log(2)x)+log(2)(log(4)x)=2

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  19. Solve the equation 5^(x)root(x)(8^(x-1))=500

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  20. Given that log2(3)=a,log3(5)=b,log7(2)=c, express the logrithm of the ...

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