The correct option is D None of these (3+3ω +3ω^2)^4 Now, we know that #160; 1+ω +ω^2=0 #160;is equal to zero, provided that #969; is the cub ...

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Sum of Coefficients of All Terms

3+3ω +3ω 2 4...

Question

${(3 + 3 ω + 3 ω^{2})}^{4}$ equals

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ω

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ω^{2}

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None of these

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Solution

The correct option is D None of these
$(3 + 3 ω + 3 ω^{2})^{4}$

Now, we know that $1 + ω + ω^{2} = 0$ is equal to zero, provided that $ω$ is the cube root of unity.

$\Rightarrow [3 (1 + ω + ω^{2})]^{4} = (3 (0))^{4} = 0$ .

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