question_answer

Evaluate

Answer:

Let [taking \[{{x}^{2}},\,\,{{y}^{2}},\,\,{{z}^{2}}\] common from \[{{C}_{1}},\,{{C}_{2}}\,{{C}_{3}}\]] [taking \[x,\,\,y,\,\,z\] common from \[{{R}_{1}},\,{{R}_{2}}\,{{R}_{3}}\]]             [applying \[{{C}_{2}}\to {{C}_{2}}-{{C}_{3}}\]]             \[={{x}^{3}}{{y}^{3}}{{z}^{3}}\times 1(1+1)\]       [expanding along \[{{R}_{1}}\]]             \[=2{{x}^{3}}{{y}^{3}}{{z}^{3}}\]