Evaluate the expression $( 4 - i ) ( 4 + i )$ and write in the form $a + b i$
A) $16 i$
B) $17 - 0 i$
C) $8 + i$
D) $8 - i$

Name: Evaluate the expression $( 4 - i ) ( 4 + i )$ and write in the form $a + b i$ A) $16 i$ B) $17 - 0 i$ C) $8 + i$ D) $8 - i$
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Question

Quizplus · Accepted Answer

Multiplying the given complex numbers $(4 - i)(4 + i)$ using the distributive property (FOIL method), we get $4*4 + 4*i - 4*i - i^2$. Since $i^2 = -1$, the expression simplifies to $16 - (-1) = 17$, or $17 + 0i$, which is in the form $a + bi$.

Evaluate the Expression (4−i)(4+i)( 4 - i ) ( 4 + i )(4−i)(4+i)

Evaluate the Expression $( 4 - i ) ( 4 + i )$