Firstly, we can see that 2 goes into both terms of the expression, so we can factor it out like so: 2(x^2 - 16). Now we can spot a difference of two squares expression, as we have an x^2 minus a square number. Remember that the difference of two squares is in the format: (x+a) (x-a), and when expanded, gives you x^2-a^2. Using this information we square root 16 to find out the a value, so a=4. Therefore, your answer is B. 2(x+4)(x-4)
Explanation: Before we begin, remember the rule of the difference between squares which is as follows: a² - b² = (a-b)(a+b)
Now, for the given: 2x² - 32 Take 2 as a common factor: 2(x²-16) This can be rewritten as: 2(x²-(4)²)) Now, factorize using the difference between squares mentioned above: 2(x+4)(x-4) This would be the simplest form that could be reached for this expresion
