Evaluate open paren 2 minus 5 i close paren times open paren p plus q close paren times i when p is equal to 2 and q is equal to 5 i

Substitute p = 2 and q = 5i, so p + q = 2 + 5i. Then (2 − 5i)(2 + 5i) is a product of conjugates, equal to 2² + 5² = 29. Multiplying by the final i gives 29i, so the answer is choice C, 29i.

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