# How do you simplify (1-7i)^2?

Oct 25, 2016

$= \left(1 - 7 i\right) \left(1 - 7 i\right)$

$= 1 - 7 i - 7 i + 49 {i}^{2}$

We know that ${i}^{2} = - 1$, so:

$= 1 - 14 i + 49 \left(- 1\right)$

$= 1 - 14 i - 49$

$= - 48 - 14 i$

Hopefully this helps!