Z1=(4-i) z2=(3-2i)

To perform operations with complex numbers, like addition and multiplication, we can use the following formulas:

1. Addition: (a + bi) + (c + di) = (a + c) + (b + d)i
2. Multiplication: (a + bi) * (c + di) = (ac - bd) + (ad + bc)i

Now let's use these formulas to calculate z1 + z2 and z1 * z2:

1. Addition: z1 + z2 = (4 - i) + (3 - 2i) = (4 + 3) + (-1 - 2)i = 7 - 3i

So, z1 + z2 = 7 - 3i.

2. Multiplication: z1 * z2 = (4 - i) * (3 - 2i) = (4 * 3 - (-1) * (-2)) + (4 * (-2) + 3 * (-1))i = (12 - 2) + (-8 - 3)i = 10 - 11i

So, z1 * z2 = 10 - 11i.