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System Message

[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)

[00:00:00] Write an algebraic expression for each verbal expression. Then simplify, indicating the properties used.
19.)
4 times the difference of f squared and g, increased by the sum of f squared and 2g.
I've written it out like this- 4(f^2-g) + (f^2 + 2g)
But I can't figure out the steps in order to simplify it.

[00:01:27] Hello?

Hope B (Tutor)

[00:01:31] hello

[00:01:35] sorry just reading the problem.

[00:02:01] okay what you've done so far looks right

[00:02:54] okay to simplify

[00:03:06] lets see if we can't figure out how to get rid of the parenthesis

[00:03:11] any idea how we might do that?

Guest (Customer)

[00:03:40] Not really. I'm pretty new to
this stuff.

Hope B (Tutor)

[00:04:51] does that make sense?

Guest (Customer)

[00:05:35] So far yes, but I thought you
would multiply the 4 with the
second group too

Hope B (Tutor)

[00:05:58] nope, not because of where the parenthesis were

Guest (Customer)

[00:06:05] Oh okay.

Hope B (Tutor)

[00:06:13] if the parenthesis were around the whole thing then you would have

[00:06:30] okay, can you simplify any further?

Guest (Customer)

[00:06:32] Well taht makes sense

Hope B (Tutor)

[00:06:48] great!

Guest (Customer)

[00:07:21] I'm still kinda lost tho

Hope B (Tutor)

[00:07:36] just with how to simplify further?

Guest (Customer)

[00:07:44] Yea.

Hope B (Tutor)

[00:08:20] alright, well you can group the f^2 and the g terms

[00:08:24] like this

[00:08:51] you can always do that when things have the same variables behind them

Guest (Customer)

[00:08:51] Im confused

[00:09:11] How did you get to 5f^2

Hope B (Tutor)

[00:09:25] I added 4f^2 + f^2

Guest (Customer)

[00:09:48] Ok wait I think I get it now

[00:10:27] You add 4F^2 with F^2 and got
5F^2?

Hope B (Tutor)

[00:10:46] yep

Guest (Customer)

[00:10:48] and negative 4g plus 2g

[00:11:02] which would be negative 2g

Hope B (Tutor)

[00:11:07] right exactly

[00:11:13] and thats all the simplifying you can do

Guest (Customer)

[00:11:17] Oh ok I get it now!

Hope B (Tutor)

[00:11:54] great!

[00:12:03] Do you have any other questions?

Guest (Customer)

[00:12:09] Do you mind if I ask one more
question just like this one?

[00:12:12] I have one more

[00:12:26] It has the same instructions to
it

Hope B (Tutor)

[00:12:33] sure

Guest (Customer)

[00:13:10] 20.)
3 times the sum of x and
y squared plus 5 times the
difference of 2x and y

[00:13:59] 3(x + y^2) + 5(2x - y)

Hope B (Tutor)

[00:14:12] right exactly

[00:17:10] yep good job so far

[00:18:49] right thats the answer!

[00:18:50] good job

Guest (Customer)

[00:19:11] Thanks! You've been a great
help!

Hope B (Tutor)

[00:19:15] no problem.

[00:19:36] Have a great night and if you get a chance could you fill out the survey at the end. I love getting feedback. Thanks!

Guest (Customer)

[00:19:52] Ok sure! No problem!