$$(t^{4}\cdot-3t^{4}+2t+6)-(t^{4}-3t^{3}-6t+2)$$
$4+8t+3t^{3}-t^{4}-3t^{8}$
$$t^{8}\left(-3\right)+2t+6-\left(t^{4}-3t^{3}-6t+2\right)$$
$$t^{8}\left(-3\right)+2t+6-t^{4}+3t^{3}+6t-2$$
$$t^{8}\left(-3\right)+8t+6-t^{4}+3t^{3}-2$$
$$t^{8}\left(-3\right)+8t+4-t^{4}+3t^{3}$$
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