/sci/ - Science & Math » Thread #13292778

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Chrystal's Algebra 3

Anonymous Fri 18 Jun 15:18:30 2021 No.13292778 View Reply Original Report

Quoted By: >>13292841 >>13292853 >>13292894 >>13292913

How was the 2nd step acquired from the 1st step and 3rd from the 2nd?

Anonymous

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Anonymous Fri 18 Jun 2021 15:18:49 No.13292780 Report

Quoted By:

How was the 2nd step acquired from the 1st?

Anonymous

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Anonymous Fri 18 Jun 2021 15:19:51 No.13292784 Report

Quoted By: >>13292788 >>13292792

To what does the summation refer to?
as in, is it just
a(b+c-a)^2? + b(b+c-a)^2? + c(b+c-a)^2
or a(b-c-a)^2 + a(-b-c-a)^2 .................. + b(b+c-a) + b(b-c-a) .......?

Anonymous

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Anonymous Fri 18 Jun 2021 15:20:54 No.13292788 Report

Quoted By:

>>13292784
This is the solution given by the book

Anonymous

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Anonymous Fri 18 Jun 2021 15:22:24 No.13292792 Report

Quoted By:

>>13292784
This is what I tried (too huge file size) https://media.discordapp.net/attachments/326138737606262786/855459251996852304/183668144404037632.png?width=934&height=701, in accordance with the definition given by the book (picrelated)

Anonymous

Anonymous Fri 18 Jun 2021 15:38:30 No.13292841 Report

Quoted By: >>13292853

>>13292778
when in doubt, expand both sides out. the steps should then be more apparent

Anonymous

Anonymous Fri 18 Jun 2021 15:44:43 No.13292853 Report

Quoted By:

>>13292841
i know that you can just expand the lefthand side to get bc^2 - b^2 * c + ca^2 - c^2 * a + ab^2 - a^2 * b (in case of >>13292778) but what I am asking is
"How was the 2nd step acquired from the 1st step and 3rd from the 2nd?'

Anonymous

Anonymous Fri 18 Jun 2021 15:57:13 No.13292894 Report

Quoted By: >>13292904

>>13292778
they just collected all the multiples of a,b,c in one term respectively

Anonymous

Anonymous Fri 18 Jun 2021 15:59:49 No.13292904 Report

Quoted By: >>13292933 >>13292978

>>13292894
could you elaborate?

Anonymous

Anonymous Fri 18 Jun 2021 16:02:26 No.13292913 Report

Quoted By:

>>13292778
>/sci/ - Science & Math

Anonymous

Anonymous Fri 18 Jun 2021 16:06:57 No.13292933 Report

Quoted By: >>13292978 >>13293168

>>13292904
$-a^2(B - C) - b^2(C - A) - c^2(A-B) = A(b^2-c^2) + B(c^2 - a^2) + C(a^2 - b^2)$

Anonymous

Anonymous Fri 18 Jun 2021 16:14:57 No.13292978 Report

Quoted By:

>>13292904
>>13292933
I would use color, but I iused it to impersonate the mods too many times so they removed the option

Anonymous

Anonymous Fri 18 Jun 2021 16:57:05 No.13293168 Report

Quoted By:

>>13292933
thanks, is there any point in doing it in 4 steps, rather than just 1 big?

Anonymous

Anonymous Fri 18 Jun 2021 21:08:59 No.13294001 Report

Quoted By:

could a mod please move this thread to /wsr/? I accidentally created it here

Anonymous

Anonymous ## Mod Fri 18 Jun 2021 21:17:37 No.13294047 Report

Quoted By:

This thread was moved to >>>/wsr/1043997

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