$${ \left(a+b+c \right) }^{ 2 } - { \left(a+b+c \right) }^{ 2 } +4 { b }^{ 2 } -4 { c }^{ 2 }$$
$4\left(b^{2}-c^{2}\right)$
$$a^{2}+2ab+2ac+b^{2}+2bc+c^{2}-\left(a+b+c\right)^{2}+4b^{2}-4c^{2}$$
$$a^{2}+2ab+2ac+b^{2}+2bc+c^{2}-\left(a^{2}+2ab+2ac+b^{2}+2bc+c^{2}\right)+4b^{2}-4c^{2}$$
$$0+4b^{2}-4c^{2}$$
$$4b^{2}-4c^{2}$$
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$4b^{2}-4c^{2}$
