How do you simplify (-1+6i)^2?

1 Answer
Aug 10, 2018

37 - 12i

Explanation:

(-1+6i)^2

(-1+6i)(-1+6i)

Use FOIL to distribute:
-1 * -1 = 1

-1 * 6i = -6i

6i * -1 = -6i

6i * -6i = -36i^2

Combine them all together:
1 - 6i - 6i - 36i^2

Combine like terms:
1 - 12i - 36i^2

We know that i^2 = -1, so: 1 - 12i - 36(-1)#

1 - 12i + 36

Simplify:
37 - 12i

Hope this helps!