Using properties of determinants, prove that:
(CBSE 2012,2014)
Given : 
Now Performing Row operation: R1=R1-R2 and R2=R2-R3


Now opening the Determinant:

= a(b + bc + c) + bc
= abc + ab + ac + bc

Hence, Proved
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(CBSE 2013,2014,2015)