### Video Tutorial on Subtracting Complex Numbers

**Note:** The second half of the video focuses on subtracting complex numbers so if you already understand
adding just skip to the middle.

##### Example 1

Let's subtract the following 2 complex numbers

$
(8 + 6i ) \red{-}(5 + 2i)
$

Step 1
$$(8 + 6i ) + (\red{-}5 \red{-}2i) $$

Step 2
Group the real part of the complex number and the imaginary part of the complex number.

$$(8 + -5) + (6i + -2i) $$

Step 3
**Practice** Problems

##### Problem 1

Step 1
This problem is very similar to example 1

$$ (5 + 3i ) + (\red{-}2 \red{-} 7i) $$

Step 2
Group the real parts of the complex numbers and
the imaginary parts of the complex numbers.

$$ (5 + -2) + (3i + -7i) $$

##### Problem 2

Step 1
This problem is very similar to example 1

$$ (9 + 11i ) + (\red{-}3 \red{-}5i) $$

Step 2
Group the real parts of the complex numbers and
the imaginary parts of the complex numbers.

$$ (9 + -3) + (11i + -5i) $$

##### Problem 3

Step 1
This problem is very similar to example 1 with the added twist that we have a negative
number in there $$-2i$$.

$$ (12 + 14i ) + (\red{-}3 + 2i) $$

Step 2
Group the real parts of the complex numbers and
the imaginary parts of the complex numbers.

$$ (12 + -3) + (14i + 2i) $$

##### Problem 4

Step 1
This problem is very similar to example 1

$$ (6 - 13i) + (\red{-}12 \red{-}8i) $$

Step 2
Group the real parts of the complex numbers and
the imaginary parts of the complex numbers.

$$ (6 + -12) + (-13i + -8i) $$

##### Problem 5

Step 1
This problem is very similar to example 1

$$ (-2 - 15i) + (12 \red{-} 13i) $$

Step 2
Group the real parts of the complex numbers and
the imaginary parts of the complex numbers.

$$ (-2 + 12) + (-15i - 13i) $$