Perform the desired operation. Write the answer in the form a + bi.
-$$( 2 - 3 i ) ^ { 2 }$$
A) $- 5 - 12 \mathrm { i }$
B) $4 - 12 \mathrm { i } + 9 \mathrm { i } ^ { 2 }$
C) $13 - 12 \mathrm { i }$
D) $- 5$

Question

Quizplus · Accepted Answer

Squaring the complex number $2 - 3i$ gives $(2 - 3i)^2 = 4 - 12i + 9i^2$. Since $i^2 = -1$, this simplifies to $4 - 12i - 9 = -5 - 12i$.

Perform the Desired Operation (2−3i)2( 2 - 3 i ) ^ { 2 }(2−3i)2

Perform the Desired Operation $( 2 - 3 i ) ^ { 2 }$