How do you simplify #(5 - 7i) (2 - 5i)#?

1 Answer
May 29, 2016

#-25-39i#

Explanation:

We need to multiply each term in the first set of parentheses by each term in the second set of parentheses. We can write this as follows:

#5(2-5i)-7i(2-5i)#

Now we distribute the #5# and #-7i#. This will give us:

#10 - 25i-14i+35i^2#

Combine like terms and remember that #i^2=-1# This will give us:

#10-39i+35(-1)#
#10-39i-35#
#-25-39i#