1
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Simplify 16x plus 14

2
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minus the entire expressions 3x squared plus x - 9.

3
00:00:08,267 --> 00:00:10,416
So when you subtract an entire expression,

4
00:00:10,416 --> 00:00:12,333
this is the exact same thing as having

5
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16x + 14 and then your adding the opposite of this whole thing.

6
00:00:19,436 --> 00:00:21,469
Or you're adding negative 1 times

7
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3x squared + x - 9.

8
00:00:28,085 --> 00:00:29,202
Or another way to think about this is to

9
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distribute this negative sign along all of those terms.

10
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That's essentially what we're about to do here.

11
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We're just adding the negative of this entire [expression].

12
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We're adding the opposite of it.

13
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So this first part, I'm not going to change it,

14
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that's still just 16x + 14.

15
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But now I'm going to distribute the negative sign here.

16
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so -1 times 3x squared is -3x squared

17
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-1 times (positive) x is -x

18
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Minus positive 1x.

19
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-1 times -9

20
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remember, you have to consider this negative right over here, it is part of the term.

21
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-1 times -9 is (pos.) 9

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negative times a negative is a positive.

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so then we have positive 9.

24
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and now we just have to combine like terms.

25
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so what's our highest degree term?

26
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We'd like to write in that order.

27
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We have only one x squared term.

28
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(second degree term)

29
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We only have one of those.

30
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Okay, -3x squared.

31
99:59:59,999 --> 99:59:59,999
And then, what do we have in terms of first degree terms?

32
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It's just an x, x to the first power.

33
99:59:59,999 --> 99:59:59,999
Well, we have a 16x,

34
99:59:59,999 --> 99:59:59,999
and from that, we're going to subtract an x.

35
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Subtract one x.

36
99:59:59,999 --> 99:59:59,999
so 16x - 1x is 15x.

37
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If you have 16 of something, and you subtract one of it, you're going to have 15 of that something.