In Exercises 9–20, find each product and write the result in stan...

Question

In Exercises 9–20, find each product and write the result in standard form.

- 3i(7i - 5)

Accepted Answer

Hello today we're going to rewrite the given expression in standard form. So the expression given to us is I times the quantity 5 -2 I. So in order to start reducing this, what we can go ahead and do is to distribute this I term to five minus two. I doing so is going to give us five times I which is five I minus two I times I. Which is going to give us to I squared. Now recall that I squared is equal to negative one. So we can go ahead and rewrite this quantity as negative one. Doing so is going to give us five I minus two times negative one and negative two times negative one is going to give us positive two. So what we are left with is five I plus two. Now keep in mind that the standard form is typically written as a plus or a minus B. I. Where the imaginary number goes at the end of this quantity. So rewriting this in standard form is going to give us two plus five I. And this is going to be the standard form of our given expression and that means that the solution to this problem is going to be seen. So I hope this video helps you in understanding how to write this in standard form and I'll go ahead and see you all in the next video

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