How do you simplify # (9-7i)-(10-6i)#?

3 Answers
Jul 13, 2018

#-1 -i#

Explanation:

Given: #(9 - 7i) - (10 - 6i)#

Add/subtract like terms:

#(9 - 7i) - (10 - 6i) = (9 - 10) + (-7i - (-6i))#

#= -1 -7i + 6i = -1 -i#

#-1-i#

Explanation:

#(9-7i)-(10-6i)#

#=9-7i-10+6i#

#=-1-i#

Jul 13, 2018

#-1-i#

Explanation:

Let's distribute the negative sign to the second set of parenthesis to get

#9-7i-10+6i#

The good thing is that, for the most part we can treat the imaginary unit like variables. We combine the corresponding parts to get

#-1-i#

Hope this helps!