(3x-8) or (3x+8) are binomials which are factors of the given expression
To get the binomial that is a factor of the given expression, we need to factorize the given expression
To do this, what we have to do is to use the difference of two squares
Given a^2 and b^2 as perfect squares separated by a negative sign, we have that;
[tex]a^2-b^2\text{ = (a-b)(a+b)}[/tex]Applying this to the question at hand, the factorization is;
[tex]9x^2-64\text{ = (3x-8)(3x+8)}[/tex]This means that either 3x-8 or 3x+8 are binomials which are factors of the given expression
