What is the completely factored form of 2x2 – 32? A.(2x2 + 16)(x – 16) B.2(x + 4)(x – 4) C.2(x + 8)(x – 4) D.2(x – 8)(x – 4)

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)