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Intermediate Algebra and Functions Videos 36 videos

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Description:

Evaluate the expression when r = 6 and s = -2.


Transcript

00:03

Okay sy match members got another evaluation for you to

00:07

make hair evaluate this expression three times the quantity and

00:10

all that between the brackets there when our six and

00:13

s his negative too Well this seems kind of easy

00:17

Words going toe insert the numbers They're right Well initial

00:20

facial expressions caused by this outbreak expression have been known

00:23

to include happy anxious and surprised You know like that

00:27

before this initial reaction fades to discuss do a little

00:29

substitution to remove the variables Substitute The values are equal

00:33

six and that's equals negative to into the expression right

00:36

here Parentheses Prevent signe errors and subsequent expressions of anguish

00:40

like that Constipated Okay so we rewrite this thing as

00:44

just with the big brackets there one minus and then

00:47

parentheses negative too And then squared And then over the

00:50

sixteen So put on an expression of determination The one

00:54

that looks like constipation too The one with furrowed eyebrows

00:57

Yeah that's better Thanks to the order of operations Parentheses

01:00

are the place to start Well in this expression there

01:02

are princes in princes in brackets So we start with

01:05

the innermost set and then work outwards So that gets

01:09

us teo Well one minus negative two squared over six

01:13

and we're going to do the quantity one plus two

01:15

because minus a negative is that so that's just three

01:17

squared which is nine and we're over six there So

01:20

nine over six in the parentheses Well that then gets

01:24

multiplied by three there and there are a couple of

01:27

ways to approach the final simplification But we'll cancel common

01:30

factors between the numerator and denominator first because we refer

01:33

to work with smaller numbers It's easier in the less

01:35

likely for ares So divide both three and six by

01:37

the common factor of three to simplify those values And

01:40

we got three tons quantity nine over six which is

01:42

really going to be three crossed out there and that

01:45

too And so it just gets you nine half that's

01:48

it The answer is c nine over to here's our 00:01:50.778 --> [endTime] expression of satisfaction over that one

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