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help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:20:43
https://cdn.discordapp.c…908/IMG_3108.png
IMG_3108.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:20:56
im not sure if i should put the negative outside or inside the radical
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f0b0029cde9b49dea1985582cb6b7abb
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BillyElKid
11/07/2021 16:21:26
inside , (remember that g is also inside the radical)
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:21:49
this
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:22:17
https://cdn.discordapp.c…329/IMG_3109.png
IMG_3109.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:23:34
almost there!, remember that $2y+2y_{0}$ is not equal to $2y-2y_{0}$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:23:36
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:24:26
https://cdn.discordapp.c…0027/unknown.png
unknown.png
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 16:25:28
Ohhhh I think because the - mistake earlier on the t squared I put it into the +2yo xD
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 16:26:06
Here!!
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:26:57
https://cdn.discordapp.c…176/IMG_3111.png
IMG_3111.png
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f0b0029cde9b49dea1985582cb6b7abb
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BillyElKid
11/07/2021 16:27:30
yeeeeeeeeep 👍
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:29:15
I have another question, instead of multiplying the 2 to both sides, is it okay if I multiply -2 instead and the right side would be = gt^2?
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 16:29:36
Will that be more complex since it involves a negative sign?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:30:56
no, you are right, will be exactly the same, in that case you would have this
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:32:01
https://cdn.discordapp.c…6392/unknown.png
unknown.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:32:17
that is exacly the same because of this
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:32:31
this
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:34:31
Would it be like this ?
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:34:34
https://cdn.discordapp.c…460/IMG_3113.png
IMG_3113.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:36:53
nono, because $$-(a-b)=-a-(-b)=-a+b$$ and not $$-(a-b) \neq (a+b)$$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:36:56
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:41:56
Ohhhh
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:42:20
But when the the rule of negative and negative equals positive rule apply?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:43:47
when you have ONLY a product between numbers, in this case you have a product AND a sum so you have to use the distributive property
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:43:48
https://cdn.discordapp.c…7210/unknown.png
unknown.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:44:29
then you can use the rule 🙂
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 16:44:41
Ahh the a in the product?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:44:48
with $ab$ and $ac$ separately
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:44:49
Is*
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:44:50
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:45:02
yees
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:45:11
is usual notation
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:45:26
$a \cdot (b+c)=a(b+c)$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:45:28
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:47:17
I’m making sure so I’m making an example to see if I understand
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:48:11
https://cdn.discordapp.c…412/IMG_3116.jpg
IMG_3116.jpg
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:48:19
Is this correct ?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:48:32
the first one is correct
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:48:53
I’m a bit confused with the second one when there is no product outside the bracket :/
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:49:07
oooooh i see your confusion now
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:49:12
i will tell you a secret
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:49:21
Okay! :D
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:49:47
https://cdn.discordapp.c…1775/unknown.png
unknown.png
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pandora ୨୧
5555
pandora ୨୧
false
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:50:05
Ohhhhhh
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:50:15
Okay let me try again this time
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:50:54
https://cdn.discordapp.c…845/IMG_3117.png
IMG_3117.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:50:56
Yes?
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f0b0029cde9b49dea1985582cb6b7abb
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BillyElKid
11/07/2021 16:51:04
yeeeeeeeeeeeeeees
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:51:09
Yayyyyy
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:51:59
So it should stay negative because
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:52:28
Originally the formula was already negative?
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:54:07
It shouldn’t affect the things inside the parentheses
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 16:55:21
I think I get what you mean
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f0b0029cde9b49dea1985582cb6b7abb
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BillyElKid
11/07/2021 16:55:30
yep it should stay negative because is in this form yet $$a(b-c)$$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:55:33
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:56:31
if you want to cancel the negatives then you have to expand it like this $$ab-ac$$
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:56:35
But I notice here you write it this way = -2(y-yo)/g , as opposed to mine which was 2y-yo/g
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:56:46
Here
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:56:50
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:57:55
nice catch, that is because i wrote it like this $$a(b-c)$$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:57:58
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:58:04
and you like this $$ab-ac$$
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 16:58:07
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:58:10
You can cancel by multiplying with the things inside the parentheses? Ex: -(2a-6) > -2a+6
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 16:58:28
yes, that is the distributive property
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 16:58:58
For easier calculation, would you say it’s better using a specific way?
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f0b0029cde9b49dea1985582cb6b7abb
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BillyElKid
11/07/2021 17:00:31
notice that yours was 2y-yo/ -g , the minus - in g is important
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:01:25
Yes
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738,072,502,881,878,100
BillyElKid
11/07/2021 17:02:40
depends on the context, in some situations $ab-ac$ will lead you to simplified expressions usually respect to sums, and $a(b-c)$ too but respect to products.
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f0b0029cde9b49dea1985582cb6b7abb
510,789,298,321,096,700
TeXit
11/07/2021 17:02:43
**BillyElKid**
https://cdn.discordapp.c…502881878148.png
738072502881878148.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:02:55
But I think it’s easier to solve later when you plug in the numbers into the y and yo compared to 2y-2yo
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f0b0029cde9b49dea1985582cb6b7abb
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pandora ୨୧
11/07/2021 17:03:22
What is this thing called ?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:03:38
what thing?
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868
help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:04:07
From 2y-2yo to -2(y-yo)
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help-10
f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:04:20
aa distributive property
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help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:04:40
I thought it’s the opposite ?
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help-10
f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:04:58
aaaa
0
1
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help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:05:00
Wouldn’t the answer for distributive property become more “open”?
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
868
help-10
f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:05:17
ok ok, not really the distributive property is an equality so
0
1
611,787,651,661,561,900
pandora ୨୧
5555
pandora ୨୧
false
868
help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:05:20
Like this?
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help-10
f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:05:39
doesn't have order
0
1
611,787,651,661,561,900
pandora ୨୧
5555
pandora ୨୧
false
868
help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:05:46
It looks more simplified for the one that you did, is it simplyfacation ?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:07:08
but when you go from this (2y-2yo) to this -2(yo-y) (using the distributive property) you are factorizing, but when you go from this -2(yo-y) to (2y-2yo) (again using the distributive property) you are expanding.
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help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:07:51
Yesss that’s what I was trying to say
1
0
510,789,298,321,096,700
TeXit
0796
TeXit
true
868
help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:08:06
It’s called factoring?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:08:21
yep= more compact = factoring
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:08:53
I see I see
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:09:05
If I want to use calculator to find the answer for this
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:09:10
https://cdn.discordapp.c…127/IMG_3118.png
IMG_3118.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:09:15
Wait
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0
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help-10
f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:09:28
Not for that because it’s expanded version
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:10:38
Is it okay to not distribute it on line 3
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:10:42
https://cdn.discordapp.c…071/IMG_3120.png
IMG_3120.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:11:22
Would that be called as factorized form/not expandable form?
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:11:30
yes if you don't want to do it, just simply not
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:12:34
yes
https://cdn.discordapp.c…8766/unknown.png
unknown.png
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f0b0029cde9b49dea1985582cb6b7abb
611,787,651,661,561,900
pandora ୨୧
11/07/2021 17:14:09
I thought you have to expand every time there is a parenthesis in front of the product
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:14:50
not necessarily, in some cases that is literally suicide
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f0b0029cde9b49dea1985582cb6b7abb
738,072,502,881,878,100
BillyElKid
11/07/2021 17:15:16
for example look at this , what expression looks more friendly to you?
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