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

Question

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

Accepted Answer

Welcome back. I am so glad you're here. We are given this expression parentheses negative three plus 13. I. And those parentheses minus new parentheses negative six plus 13 I And we are asked to perform the subtraction and use standard form to write our final answer. We recall from previous lessons. That standard form of complex numbers is A plus B. I. Where we have all of our regular real numbers first and then we combine all of our imaginary numbers and what they're being multiplied by second. So let's work on the subtraction. We have this negative squished up in front of the second set of parentheses. That negative needs to be distributed to everything in the parentheses. It's like a negative one. That needs to be multiplied by both terms inside the parentheses. So first let's bring the first set of parentheses down. We actually can drop those parentheses because they are not needed for that one. There's nothing negative that needs to be distributed in front of it to have negative three plus 13. I now distributing the negative to the second set of parentheses negative one times negative six equals a plus six negative one times 13 I equals negative 13. I and now let's combine our regular numbers together and then combine all of our imaginary numbers together. We have a negative three plus six. For our regular numbers negative three plus six equals a positive three. Now for our imaginary numbers we have positive 13 I -39. Well 13 I -13. I is no more eyes. So we have no imaginary numbers. We just have three. We look at our answer choices in this matches with answer choice. A well done, we'll catch you on the next one.

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

Key Concepts

Complex Numbers

Addition and Subtraction of Complex Numbers

Standard Form of a Complex Number

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