Problem 65 of 7
Multiply complex conjugates (7i)(-7i).
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recognize real result a^2+b^2.
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Second factor must be the conjugate of the first.
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Solution
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1. Recognize the conjugate pair a+bi and a-bi.
2. Use difference of squares.
3. Simplify -b^2 i^2 to +b^2.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Changing both signs when forming conjugate.