How do you simplify #(-5-4i)(3-7i)#?

1 Answer
Jun 23, 2016

Answer:

#-43 +23i#

Explanation:

To simplify #(-5-4i)(3-7i)#

Begin by using FOIL (First Outers Inners Lasts) to distribute and multiply the binomials.

#-(5)(3) -(5)(-7i) -(4i)(3)-(4i)(-7i)#

#-15 +35i -12i+28i^2#

In Euler's notation #i^2=-1#

#-15 +35i -12i+28(-1)#

#-15 +35i -12i-28#

Combine like terms

#-43 +23i#