express (1/3+3i)^2 in a+ib form
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Answer:
={(-80)/9} + 2i
Step-by-step explanation:
= (⅓+3i)²
=(⅓)² + (3i)² + 2×⅓×3i
=⅑ + 9i² + 2i
=⅑ + 9×(-1) + 2i
=⅑ - 9 + 2i
=(1-81)/9 + 2i
={(-80)/9} + 2i
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