Alright, on this slide here, we're going to talk about canceling literal numbers in a fraction. And we're going to assign some values to the literal numbers. As you can see here, a equals to B equals three equals four, x equals two and y equals four. And I give you an expression A, B, C over a. Well, we can cancel out a, because A is a fact door. And we're left with B and C. So what we're trying to do here is okay, if you look b equals three and C equals four, well three times four is 12.

But if we take the whole expression without cancelling anything, it's still going to come out to 12. All right, so we got two times three is six times four is 12 divided by two. Okay is 12, or we have three times four equals 12. We can also cancel these twos out, and three times four is 12. Right there. So we're just trying to show you that with numbers that we can prove the canceling technique.

All right, let's up. Let's clear the slide. And go to the next one. A plus B plus C over a well, we break that out, as we done previously, a over a plus b over a plus c over a. Well we know that a overlay is one So we're left with B plus C over a. And again, if we substitute that we've got one, three plus four over two, okay is one plus seven halves and we convert that improper fraction to a proper fraction.

And we have four and a half, and that's my number. Okay, this one here, well, let's clear the slide one more time. A plus A B plus a over C. Again, we can break this up and we can call that one over A, B, C, because this a cancels out. That's the one. That a cancels out with this one and that a cancels out with that one. So I'm leaving With a BC, so one plus BC, we substitute bc with three and four, and we get eight.

And the last one, let's again, let's clear the slide. x plus y times a plus b over c times a plus b. All right, well, we know that the this term here will cancel out, and we're left with x plus while with C. And again, we just substitute. Okay, x plus y is two plus four. C is what for arm and we do just do the math and we got one over one half. I mean, that's, that's kind of kind of it.

And we've kind of talked about these in previous slides. So go back and review them. I know I went through this pretty quick, but it's, it's something that we've hit a couple of times. Okay. So let's stop here and go on to the next slide. Okay, case some examples, just want to remind you one thing when we've got something, let's do this one here, something like that.

It's going to be a, b over a plus a over a. Now, these are factors, and I can cancel them or divide out with them. So I can say this is one and that I'm left with just be okay. All right, clear the slide do them. And of course, the answers are on the next slide. Okay, here are the answers.

So take a look. Get them. And if you have any questions again, you can contact me, give me a call. Again, we've, we've gone through a lot of these too, so I'm not spending a whole lot of time on them. Alrighty, so, let's, let's go on to the next slide. Okay, um, simplifying expressions using factoring, and canceling.

And again, we've kind of talked about this. So this should be somewhat of a review. Okay, this example here, factor out one or more letters and a group of terms. So for instance, I have a y x squared plus a y x. Well, what's common to both the A y, so I can just do that a y in parenthesis, x squared plus x close parenthesis. Okay, um, this one here, convert the difference between two squares in a conjugant binomial.

So if you remember what we spoke about a conjugate binomial, it's, some people call it the difference between two squares. If I have this a squared minus b squared, all right, I can break it out this way, a minus b A plus B. And what do we got? We got the A plus B and they cancel out and I'm left with a minus b. That's it. Last one conferred a perfect trinomial square into the square of a binomial.

So I give you an A. I give you an example x squared plus six x plus nine divided by x plus three. Well if you know from the previous examples of If I can factor this out, all right, I got x plus three times x plus three. Well, guess what? These cancel out or divide out, and I'm left with x plus three. All right. And basically, I show you that if you square that, you'll get this.

That's it, guys. We're pretty much wrapped up with this. Let me clear the slide and look at the last one here. Next one. And I've given you some examples. Take a look at them.

And right there, I've given you the answer. So I've gone through them. So take a look at them. If you have any questions or concerns, send me an email, give me a call. We'll help you out. But we're pretty much finished here on this algebra section.

And we'll see on the Next one. Okay, we got two more to go on this on this series. So we're getting there. So thank you for staying with me this long. So long one, long one but if you if you do the exercises and, and, and really work at it, you'll get a good handle on mathematics. And I call it math electronics.

But basically there's a lot of basic concepts here. Okay, talk to you soon. Thanks. Bye bye