QuestionFind the difference and express it as $a + bi$ : $(-7 + 3i) - (8 - 4i)$ .

Studdy Solution

STEP 1

Assumptions1. We are dealing with complex numbers, which are numbers of the form $a + bi$ , where $a$ and $b$ are real numbers, and $i$ is the imaginary unit with the property that $i^ = -1$ . . The operation to be performed is subtraction, which in the context of complex numbers involves subtracting the real parts and the imaginary parts separately.

STEP 2

Let's write down the subtraction operation, separating the real and imaginary parts $(-7+i) - (8-4i) = (-7 -8) + (i - (-4i))$

STEP 3

Now, let's perform the subtraction for the real parts and the imaginary parts separately $(-7 -8) + (3i - (-i)) = -15 +7i$ So, the difference of the two complex numbers $(-7+3i)$ and $(8-i)$ is $-15 +7i$ .

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