Solve (t^4-1)^7(t^3+1)^8

$$( t ^ { 4 } - 1 ) ^ { 7 } ( t ^ { 3 } + 1 ) ^ { 8 }$$

Evaluate

$$\left(t+1\right)^{15}\left(t^{2}-t+1\right)^{8}\left(\left(t-1\right)\left(t^{2}+1\right)\right)^{7}$$

Expand

$$t^{52}+8t^{49}-7t^{48}+28t^{46}-56t^{45}+21t^{44}+56t^{43}-196t^{42}+168t^{41}+35t^{40}-392t^{39}+588t^{38}-224t^{37}-455t^{36}+1176t^{35}-952t^{34}-112t^{33}+1449t^{32}-1952t^{31}+784t^{30}+1008t^{29}-2442t^{28}+1904t^{27}-1904t^{25}+2442t^{24}-1008t^{23}-784t^{22}+1952t^{21}-1449t^{20}+112t^{19}+952t^{18}-1176t^{17}+455t^{16}+224t^{15}-588t^{14}+392t^{13}-35t^{12}-168t^{11}+196t^{10}-56t^{9}-21t^{8}+56t^{7}-28t^{6}+7t^{4}-8t^{3}-1$$