Answer:
[tex]\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}[/tex]
Step-by-step explanation:
[tex]A = 18x^{2} - 32\\[/tex]
Find the sharing components:
<=> [tex]A=2*9*x^{2} - 2*16[/tex]
Apply the inverse of associative property:
<=> [tex]A = 2(9x^{2} - 16)[/tex]
Identify two square components inside the parenthesis:
<=> [tex]A = 2((3x)^{2} - 4^{2} )[/tex]
Factorize:
<=> [tex]A = 2(3x + 4)(3x - 4)[/tex]
=> Option D is correct
Hope this helps!
:)
