Question

How do you simplify `(3-8i)-(5+2i)`?

Answer 1

`(-2-10i)`

Explanation:

General solution

Let the real component by `R`
Let the imaginary component be `Im`

Then `(R_1+Im_1)-(R_2+Im_2) = [R_1-R_2]+[Im_1-Im_2]`
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Thus we have:

`[3-5]+[-8i-2i]" "=" "color(blue)((-2-10i))`

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It is just like algebra!

`(3-8i)-(5+2i)" "3-8i-5-2i`