Simplify $( 3 - 6 i ) ^ { 2 } - ( 3 + 6 i ) ^ { 2 }$ and write the answer in standard form.
A) 0
B) $- 72 i$
C) $18 - 72 i$
D) $18 + 72 i$
E) $6 - 24 i$

Name: Simplify $( 3 - 6 i ) ^ { 2 } - ( 3 + 6 i ) ^ { 2 }$ and write the answer in standard form. A) 0 B) $- 72 i$ C) $18 - 72 i$ D) $18 + 72 i$ E) $6 - 24 i$
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Quizplus · Accepted Answer

Expanding both squares and then subtracting, we get: $(3 - 6i)^2 - (3 + 6i)^2 = (9 - 36i^2) - (9 + 36i^2) = 9 + 36 - 9 + 36 = 0 - 72i = -72i$.

Simplify (3−6i)2−(3+6i)2( 3 - 6 i ) ^ { 2 } - ( 3 + 6 i ) ^ { 2 }(3−6i)2−(3+6i)2

Simplify $( 3 - 6 i ) ^ { 2 } - ( 3 + 6 i ) ^ { 2 }$