Question

Factor the expression completely.

Answer 1

Answer:

$\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}$

Step-by-step explanation:

      $A = 18x^{2} - 32$

Find the sharing components:

<=> $A=2*9*x^{2} - 2*16$

Apply the inverse of associative property:

<=> $A = 2(9x^{2} - 16)$

Identify two square components inside the parenthesis:

<=> $A = 2((3x)^{2} - 4^{2} )$

Factorize:

<=> $A = 2(3x + 4)(3x - 4)$

=> Option D is correct

Hope this helps!

:)