How do you divide #(-6-i)/(1+5i)#?
I multiply by 1 in form of the complex conjugate of the denominator divided by itself, use the F.O.I.L. method to multiply the numerator, and then simplify.
Multiply by 1 in the form of
The denominator becomes the difference of two squares:
Use the F.O.I.L method to multiply the numerator:
Substitute -1 for
Combine like terms:
Divide each term: