Prove that the difference between between squares of consecutive even number is always a multiple of 4. Let n stand for any integer in your working.

2n and 2n+2 are two consecutive even numbers, then the difference of their squares is:

As we see it is multiple of 4.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

nada

step-by-step explanation: