QuestionSimplify the expression .
Studdy Solution
STEP 1
Assumptions1. The expression is .
. The variables and are real numbers.
3. is the imaginary unit, which is defined as .
STEP 2
We can simplify the expression by grouping like terms together. In this case, the like terms are the terms involving , the terms involving , and the terms involving .
STEP 3
First, let's group the terms involving together.
STEP 4
The double negative in the expression becomes a positive, so we can rewrite the expression as
STEP 5
Now, we can combine these terms to simplify the expression.
STEP 6
Next, let's group the terms involving together.
STEP 7
We can separate the real part and the imaginary part of the expression.
STEP 8
Now, we can combine these terms to simplify the expression.
STEP 9
Finally, we can combine all the simplified terms to get the simplified expression.
This is the simplified form of the given expression.
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