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Nov 13th, 2019
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  1. -2\cdot
  2. \begin{vmatrix}
  3. 6&8&6&0&2 \\
  4. 0&x&3&x&5 \\
  5. 0&0&0&5&3 \\
  6. 0&5&4&0&2 \\
  7. x&x&x&5&1 \\
  8. \end{vmatrix}
  9. +x\cdot
  10. \begin{vmatrix}
  11. 6&0&8&6&2 \\
  12. 0&0&x&3&5 \\
  13. 0&0&0&0&3 \\
  14. 0&6&5&4&2 \\
  15. x&8&x&x&1 \\
  16. \end{vmatrix}
  17. =
  18. -2\cdot
  19. (-5\cdot
  20. \begin{vmatrix}
  21. 6&8&6&2 \\
  22. 0&x&3&5 \\
  23. 0&5&4&2 \\
  24. x&x&x&1 \\
  25. \end{vmatrix}
  26. +3\cdot
  27. \begin{vmatrix}
  28. 6&8&6&0 \\
  29. 0&x&3&x \\
  30. 0&5&4&0 \\
  31. x&x&x&5 \\
  32. \end{vmatrix}
  33. )+x\cdot
  34. (3\cdot
  35. \begin{vmatrix}
  36. 6&0&8&6 \\
  37. 0&0&x&3 \\
  38. 0&6&5&4 \\
  39. x&8&x&x \\
  40. \end{vmatrix}
  41. )=
  42. -2\cdot
  43. (-5\cdot
  44. (x\cdot
  45. \begin{vmatrix}
  46. 6&6&2 \\
  47. 0&4&2 \\
  48. x&x&1 \\
  49. \end{vmatrix}
  50. -3\cdot
  51. \begin{vmatrix}
  52. 6&8&2 \\
  53. 0&5&2 \\
  54. x&x&1 \\
  55. \end{vmatrix}
  56. +5\cdot
  57. \begin{vmatrix}
  58. 6&8&6 \\
  59. 0&5&4 \\
  60. x&x&x \\
  61. \end{vmatrix}
  62. )+3\cdot
  63. (-5\cdot
  64. \begin{vmatrix}
  65. 6&6&0 \\
  66. 0&3&x \\
  67. x&x&5 \\
  68. \end{vmatrix}
  69. +4\cdot
  70. \begin{vmatrix}
  71. 6&8&0 \\
  72. 0&x&x \\
  73. x&x&5 \\
  74. \end{vmatrix}
  75. ))+x\cdot
  76. (3\cdot
  77. (-x\cdot
  78. \begin{vmatrix}
  79. 6&0&6 \\
  80. 0&6&4 \\
  81. x&8&x \\
  82. \end{vmatrix}
  83. +3\cdot
  84. \begin{vmatrix}
  85. 6&0&8 \\
  86. 0&6&5 \\
  87. x&8&x \\
  88. \end{vmatrix}
  89. ))=
  90. -2\cdot
  91. (-5\cdot
  92. (x\cdot
  93. (4\cdot
  94. \begin{vmatrix}
  95. 6&2 \\
  96. x&1 \\
  97. \end{vmatrix}
  98. -2\cdot
  99. \begin{vmatrix}
  100. 6&6 \\
  101. x&x \\
  102. \end{vmatrix}
  103. )-3\cdot
  104. (5\cdot
  105. \begin{vmatrix}
  106. 6&2 \\
  107. x&1 \\
  108. \end{vmatrix}
  109. -2\cdot
  110. \begin{vmatrix}
  111. 6&8 \\
  112. x&x \\
  113. \end{vmatrix}
  114. )+5\cdot
  115. (5\cdot
  116. \begin{vmatrix}
  117. 6&6 \\
  118. x&x \\
  119. \end{vmatrix}
  120. -4\cdot
  121. \begin{vmatrix}
  122. 6&8 \\
  123. x&x \\
  124. \end{vmatrix}
  125. ))+3\cdot
  126. (-5\cdot
  127. (6\cdot
  128. \begin{vmatrix}
  129. 3&x \\
  130. x&5 \\
  131. \end{vmatrix}
  132. -6\cdot
  133. \begin{vmatrix}
  134. 0&x \\
  135. x&5 \\
  136. \end{vmatrix}
  137. )+4\cdot
  138. (6\cdot
  139. \begin{vmatrix}
  140. x&x \\
  141. x&5 \\
  142. \end{vmatrix}
  143. -8\cdot
  144. \begin{vmatrix}
  145. 0&x \\
  146. x&5 \\
  147. \end{vmatrix}
  148. )))+x\cdot
  149. (3\cdot
  150. (-x\cdot
  151. (6\cdot
  152. \begin{vmatrix}
  153. 6&4 \\
  154. 8&x \\
  155. \end{vmatrix}
  156. +6\cdot
  157. \begin{vmatrix}
  158. 0&6 \\
  159. x&8 \\
  160. \end{vmatrix}
  161. )+3\cdot
  162. (6\cdot
  163. \begin{vmatrix}
  164. 6&5 \\
  165. 8&x \\
  166. \end{vmatrix}
  167. +8\cdot
  168. \begin{vmatrix}
  169. 0&6 \\
  170. x&8 \\
  171. \end{vmatrix}
  172. )))=
  173. -2\cdot
  174. (-5\cdot
  175. (x\cdot
  176. (4\cdot
  177. (6\cdot
  178. 1 -2\cdot
  179. x )-2\cdot
  180. (6\cdot
  181. x -6\cdot
  182. x ))-3\cdot
  183. (5\cdot
  184. (6\cdot
  185. 1 -2\cdot
  186. x )-2\cdot
  187. (6\cdot
  188. x -8\cdot
  189. x ))+5\cdot
  190. (5\cdot
  191. (6\cdot
  192. x -6\cdot
  193. x )-4\cdot
  194. (6\cdot
  195. x -8\cdot
  196. x )))+3\cdot
  197. (-5\cdot
  198. (6\cdot
  199. (3\cdot
  200. 5 -x\cdot
  201. x )-6\cdot
  202. (-x\cdot
  203. x ))+4\cdot
  204. (6\cdot
  205. (x\cdot
  206. 5 -x\cdot
  207. x )-8\cdot
  208. (-x\cdot
  209. x ))))+x\cdot
  210. (3\cdot
  211. (-x\cdot
  212. (6\cdot
  213. (6\cdot
  214. x -4\cdot
  215. 8 )+6\cdot
  216. (-6\cdot
  217. x ))+3\cdot
  218. (6\cdot
  219. (6\cdot
  220. x -5\cdot
  221. 8 )+8\cdot
  222. (-6\cdot
  223. x ))))=
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