case 1
     

1
00:00:00;00 --> 00:00:15;04
Because who's A, B, C? Who's A, B, and C? Because if we're going to use
distributive property to multiply into a parentheses

2
00:00:15;05 --> 00:00:22;04
It's kind of good to know what you're distributing and what you're multiplying into.
So, what your A, B, and your C is.

3
00:00:23;05 --> 00:00:29;01
There's a couple right answers to this, so, what do you think?

4
00:00:36;11 --> 00:00:38;03
X, 4, and 6

5
00:00:40;05 --> 00:00:45;03
X, 4 and 6? What do you mean? I'm sorry, tell me more.

6
00:00:45;04 -->
X is a 4 is b

7
00:0050;00 --> 00:51;08
Well then, what's the other X?

8
00:51;09 --> 00:00:55;01
The same thing

9
00:00:57;06 --> 00:01:03;04
Not quite. What did Danielle say?

10
00:01:03;05 --> 00:01:07;06
X and 6 is C, the whole thing

11
00:01:08;00 --> 00:01:09;14
So this whole thing is?

12
00:01:09;15 --> 00:01:10;08
Yeah

13
00:01:11;05 --> 00:01:13;08
C. And then what are these?

14
00:01:13;09 --> 00:01:14;09
A and B

15
00:01:15;12 --> 00:01:18;02
Is that 1 way to do it? What do you guys think?

16
00:01:22;00 --> 00:01:32;06
Is that 1 way to do it? It actually is. It doesn't fit, if anything it matches this one,
doesn't it? So, this is maybe your A and that's your B and C

17
00:01:32;07 --> 00:01:40;02
But it doesn't matter. You could say that this, whatever it is, is getting distributed, or
how else could you view it?

18
00:01:42;11 --> 00:01:51;11
How else could you view it? So, Danielle absolutely said one way, here's the other
way.

19
00:01:52;02 --> 00:01:55;05
Julie?

20
00:01:55;06 --> 00:01:59;05
Make the first 1 A, and the other B and C.

21
00:01:59;06 --> 00:02:12;03
So, this whole thing is A, and then B plus C? Absolutely. So, you actually did,
do you guys remember when you had to do, start with this expression

22
00:02:12;04 --> 00:02:20;11
Do some steps along the way, and then end at a different equivalent, but looks
different expression? You guys remember that?

23
00:02:20;11 --> 00:02:27;13
You had to be really flexible with who your quantities represented, whether they
represented a single term, or two separate terms, or whatever.

24
00:02:27;14 --> 00:02:35;03
It's the same idea, so there's distribution that's going to happen, and if you can be
flexible on how you view what's getting distributed.

25
00:02:35;04 --> 00:02:47;06
So, either one of these is perfectly fine. So, we'll actually do it both ways to show it
really is the same. So, OK for this first one

26
00:02:24;07 --> 00:02:58;07
I'm distributing this whole quantity to A plus B. So, tell me what you're writing. How
would you distribute this whole quantity to both A and B.

29
00:02:59;01 --> 00:03:07;08
To X and positive 4. Well, how about X times, what am I distributing?

30
00:03:07;09 --> 00:03:09;13
X plus 6

31
00:03:09;14 --> 00:03;26;07
X plus 6. So, I just distributed the X plus 6 to the X. What else? Plus the 4, and then
what? I have the X plus 6, because that's what's being distributed.

32
00:03:26;08 --> 00:03:30;05
Now do you notice something now that we're on this line? What's next?

33
00:03:32;02 --> 00:03:32;06
More distributing.

34
00:03:32;07 --> 00:03:42;04
More distributive property. So, and that's just because what we distributed was a
quantity, this whole thing. So now that we've distributed the quantity

35
00:03:42;05 --> 00:03:52;09
We can distribute it right back out again. So, really all that this computer does is it distributes. It distributes and it collects if it can, but it's a lot of distributive property.

36
00:03:52;10 --> 00:03:59;00
So, all right, now help me distribute this. What's being distributed in this quantity?
The X is getting distributed.

37
00:03:59;01 --> 00:04:17;03
What is X times X? X squared. What is X times 6? 6X.
Now what's getting distributed over here? The 4? So what's 4 times X?

38
00:04:17;04 --> 00:04:17;08
4X

39
00:04:19;11 --> 00:04:21;08
And 4 times 6?

40
00:04:21;09 --> 00:04:22;02
24

41
00:04:25;01 --> 00:04:34;00
Can I collect any terms? Where? 6X and 4X?
Collect the 6 and the 4 and what do you get?

42
00:04:34;02 --> 00:04:34;14
10

43
00:04:34;15 --> 00:04:46;14
10X. So, Sabrina, your observation was 100 percent correct. It was 100 percent
correct. Very good, very good. But what the computer does is it distributes.

44
00:04:46;15 --> 00:04:53;03
It multiplies. That's the operation in between those two. So, that's what it does. It
multiplies and that's it.