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