Simplify the expression.
(3 – i) – (2 + 6i)
(1 point)
Responses
1 – 7i
1 – 7 i
–1 + 7i
–1 + 7 i
–6i
–6 i
5 + 5i
-1 + 7i
I get
+1 - 7 i
You are correct. The simplified expression is +1 - 7i.
To simplify the expression (3 - i) - (2 + 6i), you need to subtract the two complex numbers separately.
First, subtract the real parts: 3 - 2 = 1.
Next, subtract the imaginary parts: -i - 6i = -7i.
Therefore, the simplified expression is 1 - 7i.
To simplify the expression (3 – i) – (2 + 6i), you need to first simplify the individual terms within the parentheses and then combine them.
Let's start with the first set of parentheses: (3 – i). This means you need to subtract i from 3.
3 – i = 3 - 1i = 3 - i
Now let's move on to the second set of parentheses: (2 + 6i). This means you need to add 6i to 2.
2 + 6i = 2 + 6i
Now we have (3 - i) - (2 + 6i) = (3 - i) - (2 + 6i).
To get the simplified expression, we can proceed to distribute the negative sign to the terms within the second set of parentheses:
(3 - i) - (2 + 6i) = 3 - i - 2 - 6i
Now, you can combine like terms:
3 - 2 = 1
-i - 6i = -7i
Therefore, the simplified expression is 1 - 7i.