SOLUTION: How do you simplify (-6 + 2i) + (-4 - 4i) and (9 + 6i)

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Question 274544: How do you simplify (-6 + 2i) + (-4 - 4i) and
(9 + 6i) - (5 + i)

Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
you simplify and combine like terms.

(-6 + 2i) + (-4 - 4i) becomes:

-6 + 2i -4 - 4i after you remove the parentheses (be careful of the signs).

combine like terms and you get -10 - 2i.

(9 + 6i) - (5 + i) becomes:

9 + 6i - 5 - i after you remove the parentheses (be careful of the signs).

combine like terms and you get 4 + 5i.

you treat the i the same way you would treat another variable.

The only difference is that at the end you can translate the i to whatever value it is based on the fact that:

example:

add i^3 + i^2 + i + 3i^3 + 3i^2 + 3i

you combine like terms to get:

4i^3 + 4i^2 + 4i

the i was treated just like another variable.

at the end, however, you can translate the i to it's simplest terms

since i^3 = -i and i^2 = -1, then:

4i^3 + 4i^2 + 4i becomes:

-4i -4 + 4i in its simplest terms.

when you combine like terms again (after simplification), then it becomes:

-4

Here's a reference for you.

http://www.purplemath.com/modules/complex.htm

SOLUTION: How do you simplify (-6 + 2i) + (-4 - 4i) and (9 + 6i) - (5 + i)