Question

Factorize:16p³q³+54r³

Answer 1

$16p {}^{3} q {}^{3} + 54r {}^{3}$

Take 2 common

$2(8p {}^{3} q {}^{3} + 27r {}^{3} )$

$2((2pq) {}^{3} + (3r) {}^{3} )$

$now \: apply \: \: \: a {}^{3} + b {}^{3} = (a + b)(a {}^{2} + b {}^{2} - ab)$

$2(2pq \: + 3r)(4p {}^{2} q{}^{2} + 9r {}^{2} - 36pqr)$


$thanks$

Answer 2

$16p {}^{3} q {}^{3} + 54r {}^{3} \\ 2(8p {}^{3} q {}^{3} + 27r {}^{3} ) \\ (2)(2pq + 3r)(4p {}^{2} + 6pqr + 9r {}^{2} ) \\ (2)(2pq + 3r) {}^{3} \\ (2)(2pq + 3r)(2pq + 3r)(2pq + 3r)$