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[" 15.If "a,b" and "c" are rational,prov...

[" 15.If "a,b" and "c" are rational,prove that "],[qquad (1)/(2)|[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|],[" is a perfect cube."]

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prove that [ [a-b-c , 2a , 2a ] , [2b , b-c-a , 2b ] ,[2c ,2c,c-a-b]] = (a+b+c)^3