0:00
All right.
00:01
In this problem, it asks us, what is the simpler form of the expression that we see down below? a few things to keep in mind when it says simpler form or simplest form.
00:11
Simplest form or simplify, these have a lot of different meanings.
00:15
And so it's important that we keep in mind these different meanings and see which ones apply to what we have in front of us and which ones don't apply.
00:22
So the first thing is, if we have any like terms that are being added or subtracted, then we combine them.
00:28
And if we look down at our expression here, the terms that we have added are 2x to the power of 3 plus 7x.
00:37
Since the xs or the variables have a different exponent, this is x to the power of 3, this is x to the power of 1, we cannot combine them.
00:46
They are not like terms.
00:47
And so this will not apply to simplifying this particular problem.
00:52
But in other problems, if we noticed that two terms have the same, like if it had been 2x plus.
00:58
7x, then i would have wanted to do that.
01:01
The next thing is that all operations that can be done should be done or are finished.
01:07
In this case, we have addition, and because they are not like terms, we cannot add them at this time, because we don't know the value of x.
01:15
But there's also multiplication.
01:18
Parentheses with a number just next to it, juxtaposed, is implied multiplication.
01:24
And so this number is being multiplied by both of the number.
01:28
Of the terms that are inside.
01:30
And so that's something that we will need to do in order to find the simpler form.
01:36
The last thing is that if we have any fractions, they need to be in low -end's terms.
01:41
This does not apply here either because we don't have any fractions.
01:44
So there's a couple of ways you can do this.
01:46
If you have learned and are strong in the rules of exponents, then you will see that this is actually built off of what you did in last unit...