by using properties of determination show that: | a-b-c 2a 2a | | 2b b-c-a 2b | =(a+b+c)³ | 2c 2c c-a-b |
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We have,
2b
b-c-a2b
2c2c
C-a-b|
Applying RiR +R2 + R,]
a +b+c a+b+c a+b+c
2bb-c-a
2b2c
2c C-a-b
[Taking (a +b+c) common from the first row]
(a +b+c)2b b-c-a 2c 2c
2bC-a-b
[Applying CC-C and CC-C]
=(a +b+c)0-(a +b+c) 2b a+b+c
a +b+c
C-a-b
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