Problem 109 of 7
Use complex identities to simplify product (3+4i)(3-4i).
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multiply conjugates and simplify i^2.
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Product must use conjugates, binomial square, or i^2 simplification.
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Solution
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1. Identify whether the product is a conjugate pair or binomial square.
2. Apply the matching identity or distribute.
3. Simplify i^2=-1 and combine terms.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Leaving conjugate products unmultiplied when simplification is requested.