Simplify the expression to a + bi form:left bracket, minus, 1, minus, i, right bracket, minus, left bracket, 3, plus, 5, i, right bracket(−1−i)−(3+5i)
Question
Simplify the expression to a + bi form:left bracket, minus, 1, minus, i, right bracket, minus, left bracket, 3, plus, 5, i, right bracket(−1−i)−(3+5i)
Solution
To simplify the expression to a + bi form, you need to distribute the negative sign to the terms in the second bracket and then combine like terms. Here are the steps:
- Distribute the negative sign to the terms in the second bracket: −1−i−3−5i
- Combine like terms: (−1−3) + (−i−5i)
- Simplify: −4 − 6i
So, the expression (−1−i)−(3+5i) simplifies to −4 − 6i in a + bi form.
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