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 .

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