Perform the operation and write the result in standard form. $( 4 + 5 i ) ^ { 2 }$
A) $- 9 + 40 i$
B) $- 9 - 40 i$
C) $9 - 40 i$
D) $- 40 + 9 i$
E) $9 + 40 i$

Name: Perform the operation and write the result in standard form. $( 4 + 5 i ) ^ { 2 }$ A) $- 9 + 40 i$ B) $- 9 - 40 i$ C) $9 - 40 i$ D) $- 40 + 9 i$ E) $9 + 40 i$
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Question

Perform the operation and write the result in standard form.   $( 4 + 5 i ) ^ { 2 }$  
A) $- 9 + 40 i$
B) $- 9 - 40 i$
C) $9 - 40 i$
D) $- 40 + 9 i$
E) $9 + 40 i$

Quizplus · Accepted Answer

Squaring $4 + 5i$ gives $(4 + 5i)^2 = 16 + 40i + 25i^2$. Since $i^2 = -1$, this simplifies to $16 + 40i - 25$, which equals $-9 + 40i$.

Perform the Operation and Write the Result in Standard Form (4+5i)2( 4 + 5 i ) ^ { 2 }(4+5i)2

Perform the Operation and Write the Result in Standard Form $( 4 + 5 i ) ^ { 2 }$