Question

How to factorize 81p^2-144q^2

Answer 1

Step-by-step explanation:

$81 {p}^{2} - 144 {q}^{2}$

${(9p)}^{2} - {(12q)}^{2}$

NOW, using identity,

${x}^{2} - {y}^{2} = (x + y)(x - y)$

$(9p - 12q)(9 p+ 12q) \\ \\ 3(9p + 12q)(3p - 4q)$