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
16 red cars and 12 black cars. He put half of each colour in each box. Therefore he would put 8 red and 6 black in each box. 8 red + 6 black is 14. Therefore he would have 14 cars in each box.
