Answer: Hello there!
our equation is [tex]2x^{2} - 32 [/tex].
here we could use the next relation:
[tex]a^{2} - b^{2} = (a+b)(a-b)[/tex]
then we can write our equation as:
[tex]2x^{2} -32= 2x^{2} - 2*16 = 2 (x^{2} - 16) = 2 (x^{2} - 4^{2} ) = 2(x +4)(x- 4)[/tex]
then the completely factored form is : 2(x+4)(x-4)
