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Sum of Coefficients of All Terms

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Question

Find the sum of the co-efficient of the terms of the expansion $(1 + x + 2 x^{2})^{6}$ .

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Solution

Substituting x = 1, we have $(1 + 1 + 2)^{6}$ , which gives us the sum of the co-efficients of the terms of the expansion.
$∴$ Sum = $4^{6}$

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