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Without Expanding the Determinant, Prove that `|(A, A^2,Bc),(B,B^2, Ca),(C, C^2,Ab)| = |(1, A^2, A^3),(1, B^2, B^3),(1, C^2, C^3)| - Mathematics

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Question

Without expanding the determinant, prove that

`|(a, a^2,bc),(b,b^2, ca),(c, c^2,ab)| = |(1, a^2, a^3),(1, b^2, b^3),(1, c^2, c^3)|`

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Solution

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Chapter 4: Determinants - Exercise 4.7 [Page 141]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 4 Determinants
Exercise 4.7 | Q 2 | Page 141

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