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If omegais an imaginary cube root of uni...

If `omega`is an imaginary cube root of unity, show that
`(x+omega+ omega^(2))(x-omega^(2)-omega^(4))(x+omega^(4)+omega^(8))(x-omega^(8)-omega^(16)).."to" ` 2n factors `=(x^(2)-1)^(n)`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-ALGEBRA
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  3. If omegais an imaginary cube root of unity, show that (x+omega+ omeg...

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  4. If omegais an imaginary cube root of unity, show that (a+ bomega+com...

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  5. If omegais an imaginary cube root of unity, show that (omega)/(9)[(1...

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  6. Find the value of 4+5[-(1)/(2)-i(sqrt(3))/(2)]^(344)+3[-(1)/(2)+i(sqrt...

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  7. If x= omega^(3) sqrt(y)+ omega+ omega^(2) ""^(3) sqrt(z), then prove t...

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  8. Find the square root of (a^(2))/(b^(2))+(b^(2))/(a^(2))+(1)/(2i)((a)/(...

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  9. z(1) and z(2) are two non-zero complex numbers such that z(1)^(2)+z(1)...

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  13. Show that the complex numbers z(1),z(2),z(3) satisfying (z(1)-z(3))/(z...

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  14. If z(1),z(2),z(3) are complex numbers such that |z(1)|=|z(2)|=|Z(3)|=|...

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  15. Show that (666 ...n "times")^(2)+(888.... N times) =(444.... 2n times)...

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  17. z(1) and z(2) are two non-zero complex numbers, they form an equilater...

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  19. If omega is an imaginary cube root of unity. Find the value of the exp...

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