How do you simplify #(6+4i)-(-5+i)#?

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Answer 1 · 2015-12-25T11:35:13

To add/subtract just collect the like terms and add/subtract. Please go through the explanation.

Adding or subtracting Complex Numbers

Example 1: Add #a+ib# and #c+id#

#a+ib+c+id = a+c+ib+id#
#= (a+c)+i(b+d)#

When we add complex numbers we add the real parts together and imaginary part together.

Example 2: #(a+ib) - (c+id)#

#(a+ib)-(c+id)#
# = a+ib -c-id# distribute the negative
#= a-c +ib -id#
#=(a-c) + i(b-d)#

When we subtract the complex numbers, find the difference of real and difference of imaginary part

Now let us come to our problem

#(6+4i) - (-5+i)#
#=6+4i +5-i#
#=6+5+4i-i#
#=11+3i# Answer .