3. Consider the complex numbers z and w below. Find the difference z- w and the product z. w.
z = (1 – 3i) and w = (-2 + 5i)

see explanation

Step-by-step explanation:

z - w

= 1 - 3i - (- 2 + 5i) ← distribute parenthesis by - 1

= 1 - 3i + 2 - 5i ← collect like terms

= 3 - 8i

z × w

= (1 - 3i)(- 2 + 5i) ← expand using FOIL

= - 2 + 5i + 6i - 15i² [ i² = - 1 ]

= - 2 + 11i + 15

= 13 + 11i

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: