Question

Evaluate the following:-

Answer 1

${x}^{(a - b)( {a}^{2} + ab + {b}^{2} ) +( b - c)( {b}^{2} + bc + {c}^{2}) + (c - a)( {c}^{2} + ca + {a}^{2} ) } \\ {x}^{0} = 1$

Answer 2

=
(a-b)(a²+ab+b²) (b-c)(b²+ bc + c²) (c-a)(c²+ac +a² x * x * x
=
(a³- b³) (b³ - c³). (c³-a³)
x * x. * x
=
(a³-b³+b³-c³+c³-a³)
x
=. (0)
x
=. 1 [Answer]