$$2b^{2}c^{2}+2c^{2}a^{2}+2a^{2}b^{2}=a^{4}-b^{9}-c^{9}$$
$2\left(bc\right)^{2}+2\left(ac\right)^{2}+2\left(ab\right)^{2}-c^{9}-b^{9}-a^{4}$
$b\left(4a^{2}-9b^{7}+4c^{2}\right)$
