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By Using Properties of Determinants, Show That:`|(1,1,1),(A,B,C),(Acuberoot3, Bcuberoot3,Ccuberoot3)|` = (A-b)(B-c)(C-a)(A+B+C) - Mathematics

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Question

By using properties of determinants, show that:

`|(1,1,1),(a,b,c),(a^3, b^3,c^3)|` = (a-b)(b-c)(c-a)(a+b+c)

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Solution

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Chapter 4: Determinants - Exercise 4.2 [Page 120]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.2 | Q 8.2 | Page 120

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