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Find the number of nonzero terms in the expansion of `(1+3sqrt(2)x)^9+(1-3sqrt(2)x)^9dot`

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Verified by Experts

The correct Answer is:
5
Given expression is
`2[1+.^(9)C_(2)(3sqrt(2)x)^(2)+.^(9)C_(4)(3sqrt(2)x)^(4)+.^(9)C_(6)(3sqrt(2)x)^(6) + .^(9)C_(8)(3sqrt(2)x)^(8)]`
Therefore, the number of nonzero terms is 5.
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