$$13 \times [8-(-5)]=[13 \times 8]-[13 \times (-5)]$$
$\text{true}$
$$13\left(8+5\right)=13\times 8-13\left(-5\right)$$
$$13\times 13=13\times 8-13\left(-5\right)$$
$$169=13\times 8-13\left(-5\right)$$
$$169=104-13\left(-5\right)$$
$$169=104-\left(-65\right)$$
$$169=104+65$$
$$169=169$$
$$\text{true}$$
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