Respuesta :
Okay, here we have this, considering the provided information, we are going to factor it completely, so we obtain:
[tex]\begin{gathered} c^{\mleft\{92\mright\}}-t^{\mleft\{92\mright\}} \\ =\mleft(c^{46}\mright)^2-\mleft(t^{46}\mright)^2 \\ =\mleft(c^{46}+t^{46}\mright)\mleft(c^{46}-t^{46}\mright) \\ =(\mleft(c^2\mright)^{23}+\mleft(t^2\mright)^{23})(\mleft(c^{23}\mright)^2-\mleft(t^{23}\mright)^2) \\ =\mleft(c^2+t^2\mright)\mleft(c^{44}-t^2c^{42}+t^4c^{40}-t^6c^{38}+t^8c^{36}-t^{10}c^{34}+t^{12}c^{32}-t^{14}c^{30}+t^{16}c^{28}-t^{18}c^{26}+t^{20}c^{24}-t^{22}c^{22}+t^{24}c^{20}-t^{26}c^{18}+t^{28}c^{16}-t^{30}c^{14}+t^{32}c^{12}-t^{34}c^{10}+t^{36}c^8-t^{38}c^6+t^{40}c^4-t^{42}c^2+t^{44}\mright)\mleft(c^{46}-t^{46}\mright) \\ =\mleft(c^2+t^2\mright)\mleft(c^{44}-t^2c^{42}+t^4c^{40}-t^6c^{38}+t^8c^{36}-t^{10}c^{34}+t^{12}c^{32}-t^{14}c^{30}+t^{16}c^{28}-t^{18}c^{26}+t^{20}c^{24}-t^{22}c^{22}+t^{24}c^{20}-t^{26}c^{18}+t^{28}c^{16}-t^{30}c^{14}+t^{32}c^{12}-t^{34}c^{10}+t^{36}c^8-t^{38}c^6+t^{40}c^4-t^{42}c^2+t^{44}\mright)\mleft(c+t\mright)\mleft(c^{22}-tc^{21}+t^2c^{20}-t^3c^{19}+t^4c^{18}-t^5c^{17}+t^6c^{16}-t^7c^{15}+t^8c^{14}-t^9c^{13}+t^{10}c^{12}-t^{11}c^{11}+t^{12}c^{10}-t^{13}c^9+t^{14}c^8-t^{15}c^7+t^{16}c^6-t^{17}c^5+t^{18}c^4-t^{19}c^3+t^{20}c^2-t^{21}c+t^{22}\mright)\mleft(c-t\mright)\mleft(c^{22}+tc^{21}+t^2c^{20}+t^3c^{19}+t^4c^{18}+t^5c^{17}+t^6c^{16}+t^7c^{15}+t^8c^{14}+t^9c^{13}+t^{10}c^{12}+t^{11}c^{11}+t^{12}c^{10}+t^{13}c^9+t^{14}c^8+t^{15}c^7+t^{16}c^6+t^{17}c^5+t^{18}c^4+t^{19}c^3+t^{20}c^2+t^{21}c+t^{22}\mright) \end{gathered}[/tex]