How do you simplify (5-3i)^2?

2 Answers

16-30i

Explanation:

Given that

(5-3i)^2

=(5-3i)(5-3i)

=25-15i-15i+9i^2

=25-30i-9

=16-30i

Jul 28, 2018

color(indigo)(=> 16 - 30 i

Explanation:

(a - b)^2 = a^2 - 2ab + b^2, identity.

(5- 3 i)^2 = 5^2 - (2*5*3 i) + (3 i)^2

i^2 = -1

=> 25 - 30 i - 9

=> 25 - 9 - 30 i

color(indigo)(=> 16 - 30 i