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