Answer :
To subtract complex numbers, you only need to combine like terms. In this case, we are subtracting the imaginary parts of the complex numbers:
1. First, identify the imaginary terms to be combined: [tex]\(-5i\)[/tex] and [tex]\(-16i\)[/tex].
2. Simply subtract these imaginary parts:
[tex]\[
-5i - 16i = (-5 - 16)i
\][/tex]
3. Calculate the result of the subtraction:
[tex]\[
-5 - 16 = -21
\][/tex]
4. Combine the result with the imaginary unit [tex]\(i\)[/tex]:
[tex]\[
-21i
\][/tex]
So, the result of subtracting [tex]\(-5i - 16i\)[/tex] is [tex]\(-21i\)[/tex].
1. First, identify the imaginary terms to be combined: [tex]\(-5i\)[/tex] and [tex]\(-16i\)[/tex].
2. Simply subtract these imaginary parts:
[tex]\[
-5i - 16i = (-5 - 16)i
\][/tex]
3. Calculate the result of the subtraction:
[tex]\[
-5 - 16 = -21
\][/tex]
4. Combine the result with the imaginary unit [tex]\(i\)[/tex]:
[tex]\[
-21i
\][/tex]
So, the result of subtracting [tex]\(-5i - 16i\)[/tex] is [tex]\(-21i\)[/tex].