$$216a^{4}b+512ab^{4}$$
$8ab\left(3a+4b\right)\left(9a^{2}-12ab+16b^{2}\right)$
$$8\left(27a^{4}b+64ab^{4}\right)$$
$$ab\left(27a^{3}+64b^{3}\right)$$
$$\left(3a+4b\right)\left(9a^{2}-12ab+16b^{2}\right)$$
$$8ab\left(3a+4b\right)\left(9a^{2}-12ab+16b^{2}\right)$$
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$512ab^{4}+216ba^{4}$