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Please help with 29. Perform the indicated operation and express result as a simplified complex number

Please help with 29. Perform the indicated operation and express result as a simplified-example-1
User Darrenmc
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Solution

29. (3+4i)(3-4i)

We can operate and we have this:


3\cdot3-3\cdot4i+3\cdot4i+(4i)(-4i)

Solving we got:


9-12i+12i-16i^2

We also know that:


i^2=-1

Then we have:


9-16(-1)=9+16=25

Then the final answer is 25

User Kory Gill
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