Question: Simplify:
(2 + 3i)²

A ) 4 - 6i
B ) - 5 + 12i
C ) 5 + 12i
D ) 3 + 4i

Steps to derive

1 (2 + 3i)² = 4 + 2(6i) + 9i²
 [(a + b)² = a² + 2ab + b².]

2 = 4 + 12i - 9
 [i² = - 1.]

3 = - 5 + 12i



Hence the right answer is Option B

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