the centroid formedof a triangle formed by the poits A(a,b),(b,c),(c,a) is at origin then acube +bcube+ccube
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Triangle is formed by points : A (a, b) , B(b , c) C (c , a)
Centroid : O : x = (a+b+c)/3 y = (b+c+a)/3
hence, a+b+c = 0
so a + b = - c
cube on both sides
a³ + b³ + 3 a b ( a + b) = - c³
a³ + b³ + c³ = 3 a b (-c) = - 3 a b c
Centroid : O : x = (a+b+c)/3 y = (b+c+a)/3
hence, a+b+c = 0
so a + b = - c
cube on both sides
a³ + b³ + 3 a b ( a + b) = - c³
a³ + b³ + c³ = 3 a b (-c) = - 3 a b c
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