$${ a }^{ 2 } -2ab+ { b }^{ 2 } - { c }^{ 2 } -2cd- { d }^{ 2 }$$
$\left(a-b-c-d\right)\left(a-b+c+d\right)$
$$\left(a^{2}-2ab+b^{2}\right)-\left(c^{2}+2cd+d^{2}\right)$$
$$\left(a-b\right)^{2}-\left(c+d\right)^{2}$$
$$\left(a-b-c-d\right)\left(a-b+c+d\right)$$
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$-\left(c+d\right)^{2}+\left(a-b\right)^{2}$
