Q21 of 45 Page 1

Using the properties of determinants, prove the following:

L.H.S =


C1→ C1 + C2 + C3



take (a + b + c) common from C1.



R3→ R3 - 2R1



= (a + b + c)[(b-c)(a+b-2c)-(c-a)(c+a-2b)]


= a3 +b3 +c3 -3abc


= RHS


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