Question

to add or subtract complex numbers, add or subtract their real parts, and add or subtract their imaginary parts.

1. $(16 - 3i)+(-3 + 5i)$
2. $(8 + 7i)-(-2 + 3i)$

Explanation:

Step1: Group real and imaginary parts

$(16 + (-3)) + (-3i + 5i)$

Step2: Calculate real and imaginary sums

$13 + 2i$

Step1: Distribute the negative sign

$(8 + 7i) + 2 - 3i$

Step2: Group real and imaginary parts

$(8 + 2) + (7i - 3i)$

Step3: Calculate real and imaginary sums

$10 + 4i$

Answer:

1. $13 + 2i$
2. $10 + 4i$