How do you simplify #(- 6+ 5i ) + ( 9- 6i )#?

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Answer 1 · 2018-02-23T03:18:07

3-i

Add like terms
#-6+5i+9-6i=#
#3-i#

Answer 2 · 2018-02-23T03:27:53

#(-6+5i) + (9-6i)# Simplifies into #(3-i)#

The first thing to do is to realize that the letter #i# is a representation of the #sqrt(-1)#.

However, we will no be using that value for #i#, instead, we will be making #i# a variable.

So, we can rewrite #(-6+5i) + (9-6i)# as such:

#(-6+5x) + (9-6x)#

Which can be rewritten as:

#-6+5x+9-6x#

Now we combine like terms and get:

#3 - x#

We finish off by replacing the #i# in place of the #x#, and get the final answer of #3-i#.