Question 352541
If x is even, then the next two even integers are x+2 and x+4.  Their product is {{{(x+2)*(x+4)= x^2 +6*x+8}}}.
If x is odd, then the next even integer is x+1, and x+3 is the following even integer.  Their product is  {{{(x+1)*(x+3)= x^2 +4*x+3}}}.