Question

$(2 + 3i) {}^{2}$
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Answer 1

Answer:

$4 + 9 {i}^{2} + 12i$

Step-by-step explanation:

${(2 + 3i)}^{2} \\ = {(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab \\ = {2}^{2} + {(3i)}^{2} + 2 \times 2 \times (3i) \\ = 4 + 9 {i}^{2} + 12i$