$$8\div2(2t^{2})$$
$8t^{2}$
$$4\times 2t^{2}$$
$$8t^{2}$$
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$16t$
$$\frac{\mathrm{d}}{\mathrm{d}t}(4\times 2t^{2})$$
$$\frac{\mathrm{d}}{\mathrm{d}t}(8t^{2})$$
$$2\times 8t^{2-1}$$
$$16t^{2-1}$$
$$16t^{1}$$
$$16t$$