Question 1046824
If z=3+2i evaluate z^4-z^3+z^2-z+1
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Step 1, find z^2
z^2 = (3+2i)*(3+2i) = 9 + 12i + 4i^2 = 9 + 12i - 4 = 5 + 12i
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Multiply that by z to find z^3
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Square it to find z^4
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Add them.