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[" (ख) सिद्ध कीजिए कि "],[|[a+bb,c],[b+c...

[" (ख) सिद्ध कीजिए कि "],[|[a+bb,c],[b+cc,a],[c+a,a,b]|=3abc-a^(3)-b^(3)-c^(3)],[hline]

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[[b+c,a-b,ac+a,b-c,ba+b,c-a,c]]=3abc-a^(3)-b^(3)-c^(3)

[[ Prove that ,,a+b,b,cb+c,c,ac+a,a,b]]=3abc-a^(3)-b^(3)-c^(3)

Prove the following: [[a,b,c],[b,c,a],[c,a,b]]=3abc-a^3-b^3-c^3

Prove that : |{:(a+b,b,c),(b+c,c,a),(c+a,a,b):}|=3 abc-a^(3)-b^(3)-c^(3)

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det[[a,b,ca-b,b-c,c-ab+c,c+a,a+b]]=a^(3)+b^(3)+c^(3)-3abc

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|{:(b+c,a-b,a),(c+a,b-c,b),(a+b,c-a,c):}|=3abc-a^3-b^3-c^3

Prove that |(a+b, b, c), (b+c, c, a), (c+a, a, b)| = 3abc - a^3-b^3-c^3.