Given that \( \left(1+x+x^{2}\right)^{n}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots .+a_{2 n} x^{2 n} \), ...
Given that \( \left(1+x+x^{2}\right)^{n}=a_{0}+a_{1} x+a_{2} x^{2}+\ldots .+a_{2 n} x^{2 n} \), find the values of :
(i) \( \mathrm{a}_{0}+\mathrm{a}_{1}+\mathrm{a}_{2}+\ldots . .+\mathrm{a}_{2 \mathrm{n}} \);
\( P \)
(ii) \( \mathrm{a}_{0}-\mathrm{a}_{1}+\mathrm{a}_{2}-\mathrm{a}_{3} \ldots . .+\mathrm{a}_{2 \mathrm{n}} \);
W
(iii) \( \mathrm{a}_{0}{ }^{2}-\mathrm{a}_{1}{ }^{2}+\mathrm{a}_{2}{ }^{2}-\mathrm{a}_{3}{ }^{2}+\ldots . .+\mathrm{a}_{2 \mathrm{n}}{ }^{2} \)
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