$$13 d + 5 c , - 13 c + 5 d$$
$-\left(5d-13c\right)\left(5c+13d\right)$
$$-\left(5d-13c\right)\left(5c+13d\right)$$
$$65c^{2}+144cd-65d^{2}$$
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$5c+13d,5d-13c$