Note: The second half of the video focuses on subtracting complex numbers so if you already understand adding just skip to the middle.
Let's subtract the following 2 complex numbers
$ (8 + 6i ) \red{-}(5 + 2i) $
Step 1Distribute the negative
$$(8 + 6i ) + (\red{-}5 \red{-}2i) $$
$$(8 + -5) + (6i + -2i) $$
Combine the like terms and simplify
$$ 3 + 4i $$
This problem is very similar to example 1
Destribute the negative.
$$ (5 + 3i ) + (\red{-}2 \red{-} 7i) $$
Combine the like terms and simplify
$$ 3 - 4i $$
This problem is very similar to example 1
Destribute the negative.
$$ (9 + 11i ) + (\red{-}3 \red{-}5i) $$
Combine the like terms and simplify
$$ 6 + 6i $$
This problem is very similar to example 1 with the added twist that we have a negative number in there $$-2i$$.
Destribute the negative.
$$ (12 + 14i ) + (\red{-}3 + 2i) $$
Combine the like terms and simplify
$$ 9 + 16i $$
This problem is very similar to example 1
Destribute the negative.
$$ (6 - 13i) + (\red{-}12 \red{-}8i) $$
Combine the like terms and simplify
$$ -6 + -21i $$
This problem is very similar to example 1
Destribute the negative.
$$ (-2 - 15i) + (12 \red{-} 13i) $$
Combine the like terms and simplify
$$ 10 - 28i $$
