Question

Prove the following, using properties of determinants:

|(a+b+2c,a,b),(c,b+c+2a,b),(c,a,c+a+2b)|=2(a+b+c)3

Answer 1

= 2(a + b + c)3 [1(1 - 0)] = 2(a + b + c)3 = RHS