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Prove that:x^4+4=(x+1+i)(x+1-i)(x-1+i)(x...

Prove that:`x^4+4=(x+1+i)(x+1-i)(x-1+i)(x-1-i)`

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OSWAAL PUBLICATION-SAMPLE PAPER 8-EXERCISE
  1. Let R be the relation over the set N xx N and is defined by (a,b)R(c,d...

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  2. Prove that :(cosx-cosy)^2+(sinx-siny)^2=4sin^2((x-y)/2).

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  3. Prove that:x^4+4=(x+1+i)(x+1-i)(x-1+i)(x-1-i)

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  4. How many words with or without meaning can be made from the letter of ...

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  5. How many words with or without meaning can be made from the letter of ...

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  6. How many words, with or without meaning can be made from the letters o...

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  7. If (z-1)/(z+1) is purely imaginary, then |z|=

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  8. Find the term independent of x in the expansion of (3x^2-1/(2x^3))^10.

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  9. For what value of n,(a^(n+1)+b^(n+1))/(a^n+b^n) is the arithmetic mean...

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  10. In a class of 100 students 60 drinks tea. 50 drink coffee and 30 drink...

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  11. In a class of 100 students 60 drinks tea. 50 drink coffee and 30 drink...

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  12. Find the derivative of function x^n with respect to 'x' from first pri...

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  13. Find the co-ordinate of the focus ,equation of the directrix and lengt...

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  14. Insert 6 numbers between 3 and 24 so that the resulting sequence is an...

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  15. Verify by the method of contradiction that sqrt 11 is irrational.

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  16. 4 persons are selected at random from a group of 3 men , 2 women and...

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  17. 4 persons are selected at random from a group of 3 men , 2 women and...

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  18. Defiine a polynimial function.If the function from f:R rarr R is defin...

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  19. Prove that by using the principle of mathematical induction for all n...

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  20. A box contains 5 different red and 6 different white balls.In how many...

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