Simplify (x+y+z)^2-(x+y+z)^2
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(a+b+c)^2 + a^2 + b^2 + c^2 = (a+b)^2 + (b+a)^2 + (c+a)^2 ………… (1)
Let,
a = -x+y+z , b = x-y+z , c = x+y-z
a+b = 2z , b+c = 2x , c+a = 2y
a+b+c = x+y+z
as (1) and given expression are same it will be simplified to
(2z)^2 + (2x)^2 + (2y)^2
4(x^2 + y^2 + z^2)
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