In Exercises 1–8, add or subtract as indicated and write the resu...

Question

In Exercises 1–8, add or subtract as indicated and write the result in standard form.

(7 + 2i) + (1 - 4i)

Accepted Answer

Hello today we're going to be rewriting a complex expression in standard form. So the complex expression given to us is 5-plus I plus the quantity three I -1. Now notice that this is a sum of two quantities. So that means that we can go ahead and rewrite the entire expression without the need of the parentheses. So what we get is five plus I plus three I minus one. And what we need to do now is go ahead and combine the like terms together. While any term here involving I can be added together and all the constant values can be added together as well. I plus three I is going to give us four. I and five minus one is going to give us positive four. So this is the simplified version of our given expression. But keep in mind we need to write this in standard form. The standard form of a complex number is A plus or minus B. I. Where the real number goes in front and the imaginary number goes last. So if we just quickly reorder this, the standard form of this complex number is four plus four I. And this is going to be the standard form of our giving complex expression and that means that the answer to this problem is going to be a So I hope this video helps you in understanding how to rewrite this in standard form and I'll go ahead and see you all in the next video

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