Find each sum or difference. Write answers in standard form. (...

Question

Find each sum or difference. Write answers in standard form. (-3+2i) - (-4+2i)

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression. We have parentheses negative seven plus four. I. And those parentheses minus new parentheses negative five plus four I. We are asked to perform the subtraction and write our answer in standard form. We recall from previous lessons that standard form of complex numbers is going to be in the format of A plus B. I. Where A that's all those regular real numbers and B. I. Those are all those imaginary numbers and the ones that are connected to them. So let's work on the subtraction. We see that our second set of parentheses has a minus in front of it. That's like a negative one. That needs to be distributed to everything inside of the parentheses. The first set of parentheses that one's fine. We can bring it down and drop the set of parentheses so we have negative seven plus four. I. And now let's distribute that negative to the second set of parentheses negative one times negative five is going to be a positive five and negative one times four I is going to be a minus four. I now let's combine all of our regular numbers together and all of our imaginary numbers together. First with negative seven plus five. Negative seven plus five equals negative two. Now with our imaginary numbers four I minus four. I well four I minus four I equals zero. So there are no imaginary numbers for this one. We just have negative two. We look at our answer choices in this matches with answer choice. D. Well done. We'll catch you on the next one.

Find each sum or difference. Write answers in standard form. (-3+2i) - (-4+2i)

Key Concepts

Complex Numbers

Addition and Subtraction of Complex Numbers

Standard Form of a Complex Number

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