∣∣∣∣a−b−c2a2a2bb−c−a2b2c2cc−a−b∣∣∣∣=(a+b+c

1.	∣∣∣∣a−b−c2a2a2bb−c−a2b2c2cc−a−b∣∣∣∣=(a+b+c)3 ∣∣∣∣x+y+2zxyzy+z+2xyzxz+x+2y∣∣∣∣=2(x+y+z)3
Answer» $∣ ∣∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣∣ ∣ = (a + b + c)^{3}$ $∣ ∣∣ ∣ \begin{matrix} x + y + 2 z & x & y z & y + z + 2 x & y z & x & z + x + 2 y \end{matrix} ∣ ∣∣ ∣ = 2 (x + y + z)^{3}$

∣∣∣∣a−b−c2a2a2bb−c−a2b2c2cc−a−b∣∣∣∣=(a+b+c)3 ∣∣∣∣x+y+2zxyzy+z+2xyzxz+x+2y∣∣∣∣=2(x+y+z)3

Answer»

$∣ ∣∣ ∣ \begin{matrix} a - b - c & 2 a & 2 a 2 b & b - c - a & 2 b 2 c & 2 c & c - a - b \end{matrix} ∣ ∣∣ ∣ = (a + b + c)^{3}$

$∣ ∣∣ ∣ \begin{matrix} x + y + 2 z & x & y z & y + z + 2 x & y z & x & z + x + 2 y \end{matrix} ∣ ∣∣ ∣ = 2 (x + y + z)^{3}$