$$8a^{3}+b^{3}+42; a^{2}+6ab^{2}$$
$a\left(a+6b^{2}\right)\left(8a^{2}+b^{3}+12\right)$
$$a\left(a+6b^{2}\right)\left(8a^{2}+b^{3}+12\right)$$
$$8a^{4}+a^{2}b^{3}+12a^{2}+6ab^{5}+72ab^{2}+48b^{2}a^{3}$$
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$8a^{2}+b^{3}+12,\ a\left(a+6b^{2}\right)$