Answer :

Taking ‘a’, ‘b’ and ‘c’ outside the determinant from 1^{st},2^{nd} and 3^{rd} column respectively

Taking ‘a’, ‘b’ and ‘c’ outside the determinant from 1^{st},2^{nd} and 3^{rd} row respectively

.

R1 → R1 + R2 (i.e. Replacing 1^{st} row by addition of 1^{st} and 2^{nd} row)

panding the determinant along 1^{st} row

∴ LHS = a^{2} b^{2} c^{2} × 2(1 - (-1)) = 4a^{2}b^{2}c^{2} = RHS

∴

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