How do you simplify (3-8i)-(5+2i)(38i)(5+2i)?

1 Answer
Jul 27, 2016

(-2-10i)(210i)

Explanation:

General solution

Let the real component by RR
Let the imaginary component be ImIm

Then (R_1+Im_1)-(R_2+Im_2) = [R_1-R_2]+[Im_1-Im_2](R1+Im1)(R2+Im2)=[R1R2]+[Im1Im2]
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Thus we have:

[3-5]+[-8i-2i]" "=" "color(blue)((-2-10i))[35]+[8i2i] = (210i)

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
It is just like algebra!

(3-8i)-(5+2i)" "3-8i-5-2i(38i)(5+2i) 38i52i