Find the product and write the result in standard form.
-$( 1 + 4 i ) ^ { 2 }$
A) $- 15 + 8 i$
B) $17 + 8 \mathrm { i }$
C) $- 15$
D) $1 + 8 i + 16 i ^ { 2 }$ Perform the indicated operations and write the result in standard form.

Question

Quizplus · Accepted Answer

The product $(1 + 4i)^2$ simplifies to $1 + 8i + 16i^2$. Since $i^2 = -1$, this further simplifies to $1 + 8i + 16(-1)$, which equals $-15 + 8i$.

Find the Product and Write the Result in Standard Form (1+4i)2( 1 + 4 i ) ^ { 2 }(1+4i)2

Find the Product and Write the Result in Standard Form $( 1 + 4 i ) ^ { 2 }$