Problem 142 of 7
Correct the complex polynomial identity error in (2+3i)(2-3i)=4-9= -5.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
catch invalid real factoring, wrong conjugate, and i^2 sign mistakes.
Hidden until you reveal it.
Worked example must contain invalid real factoring, wrong conjugate, or i^2 sign error.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Expand or apply the relevant identity.
2. Simplify i^2=-1 carefully.
3. State the corrected identity or factorization.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Final factorization without identifying why the original was wrong.