Question

Factorize
$81p^{2} q^{4} - p^{2} q^{6}$
please provide a step by step explanation​

Answer 1

$the \: answer \: is \: \boxed {\green{(9pq ^{2} - pq ^{3} )(9pq ^{2} + pq ^{3})}}$

Step-by-step explanation:

$81 {p}^{2} {q}^{4} - {p}^{2} q^{6}$

$(9 p{q}^{2} )^{2} - (p {q}^{3} )^{2}$

$(9pq ^{2} - pq ^{3} )(9pq ^{2} + pq ^{3})$

IDENTITY USED:

a²–b² = (a–b)(a+b)