Answer :

Operating R1R1-R2, R2R2-R3




Taking (a-b) and (b-c) from R1, R2



Method 1:


For the two determinants to be equal, their difference must be 0.





Since 2 columns have only 0 as their elements, by properties of determinants


=0


Method 2:


Expanding both with C1


LHS


=(a-b)(b-c)(-a+c)


RHS


=(a-b)(b-c)(b+c-a-b)


=(a-b)(b-c)(-a+c)


LHS = RHS


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