Z1=(5-2i) z2=(3-3i)

To perform arithmetic operations with complex numbers, follow the same rules as with real numbers.

To add complex numbers, simply add the real parts and the imaginary parts separately: z1 + z2 = (5-2i) + (3-3i) = 5 + 3 - 2i - 3i = 8 - 5i

To subtract complex numbers, subtract the real parts and the imaginary parts separately: z1 - z2 = (5-2i) - (3-3i) = 5 - 3 - 2i + 3i = 2 + i

To multiply complex numbers, use the distributive property: z1 * z2 = (5-2i) * (3-3i) = 5 * 3 + 5 * (-3i) - 2i * 3 + 2i * (-3i) = 15 - 15i - 6i + 6i^2 = 15 - 21i + 6(i^2) = 15 - 21i + 6 * (-1) = 15 - 21i - 6 = 9 - 21i

I hope this helps! Let me know if you have any other questions.