Question

Multiply.
(1-5i) (3+21)
Write your answer as a complex number in standard form.

Answer 1

U+ v = 2-3i -3 + i = -1 -2i

U- V = ( 2 - 3 i) - ( -3 + i) = 5 - 4i

U V = ( 2- 3i) ( -3 +i) =- 6 + 9i + 2i +3 = -3 + 11i

U/ V = ( 2 - 3i)/( -3 + i ) * ( -3 - i) / ( -3 - i) =

( - 6 + 9i -2i -3i ) / 10=

- 6/10 + 6/10i

V/u / Do it yourself

V^2 = ( - 3 + i) = 9 - 1 -6i = 8 - 6i

V ^3 = ( - 3 + i ) ^3 = ( -3) ^3 +3(-3)^2 i + 3 ( -3) i^2 +i^3

= -27 -27i +9 - i = - 18 - 28 i

V^4 = (v^2 ) ^2 = ( 8-6i) ^2 = 64 -96i +36 = 100 -96i

Explanation: