Perform the operation and write the result in standard form. $( 8 - 7 i ) ^ { 2 }$
A) $15 - 112 i$
B) $- 15 - 112 i$
C) $15 + 112 i$
D) $17 - 112 i$
E) $- 15 + 112 i$

Question

Perform the operation and write the result in standard form.​ $( 8 - 7 i ) ^ { 2 }$ ​
A)​ $15 - 112 i$
B)​ $- 15 - 112 i$
C)​ $15 + 112 i$
D)​ $17 - 112 i$
E)​ $- 15 + 112 i$

Quizplus · Accepted Answer

To solve $(8 - 7i)^2$, first expand the expression: $(8 - 7i)(8 - 7i) = 64 - 56i - 56i + 49i^2$. Since $i^2 = -1$, the expression simplifies to $64 - 112i - 49 = 15 - 112i$.

Perform the Operation and Write the Result in Standard Form (8−7i)2( 8 - 7 i ) ^ { 2 }(8−7i)2

Perform the Operation and Write the Result in Standard Form $( 8 - 7 i ) ^ { 2 }$