Question

this determinat question please prove it farst

Answer 1

Ahoy!

Refer to the attachment

Answer 2

Please refer to above attachment

after the attachment

$= 8abc + 4 {a}^{2} b + 4 {c}^{2} a + 4 {a}^{2} c + \\ 4a {b}^{2} + 4b {c}^{2} \\ \\ = 4(2abc + {a}^{2} b + {c}^{2} a + {a}^{2} c + a {b}^{2} \\ + b {c}^{2} ) \\ \\ = 4(a + b)(bc + ab + {c}^{2} + ac) \\ \\ = 4(a + b)(b + c)(c + a)$

=RHS