Question

Factorize each of the following expression:
18a²x² − 32

Answer 1

$18a^2{x}^2-32$

$=2(9a^2{x}^2-16)$

$=2\left[\right(3ax{)}^2-\left(4{)}^2\right]$

$=2(3ax-4)(3ax+4)$ $[\because a^2-b^2=(a-b\left)\right(a+b\left)\right]$

Hence,

Answer is $2(3ax-4)(3ax+4)$