Which of the following correctly simplifies the expression -17 + 5 + 3i - 8 and expresses it in the form of a + bi?
The expression -17 + 5 + 3i - 8 can be simplified as follows:
-17 + 5 + 3i - 8 = (-17 - 8) + (5 + 3i)
= -25 + (5 + 3i)
= -25 + 5 + 3i
Combining the real numbers and imaginary numbers, we get:
= -20 + 3i
So the expression -17 + 5 + 3i - 8 expressed in the form of a + bi is -20 + 3i.
To simplify the given expression -17 + 5 + 3i - 8 and express it in the form of a + bi, we can combine the real numbers and the imaginary numbers separately.
First, let's combine the real numbers: -17 + 5 - 8 = -20.
Now, let's combine the imaginary numbers: 3i.
Therefore, the simplified expression in the form of a + bi is -20 + 3i.
To simplify the given expression -17 + 5 + 3i - 8 and express it in the form of a + bi, we can combine like terms.
-17 + 5 = -12
3i - 8 = -8 + 3i
Now, we can add these two simplified terms together.
-12 + (-8 + 3i)
To add these two complex numbers, we sum up the real parts and the imaginary parts separately.
Real part: -12 + (-8) = -20
Imaginary part: 3i
Combining these, we have:
-20 + 3i
So, the expression -17 + 5 + 3i - 8, when simplified and expressed in the form of a + bi, is -20 + 3i.