SOLUTION: Let x be an integer. What is the product of the next two consecutive even integers?

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Question 352541: Let x be an integer. What is the product of the next two consecutive even integers?
Found 2 solutions by Jk22, robertb:
Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
if x even, (x+2)(x+4)
if x odd, (x+1)(x+3)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
If x is even, then the next two even integers are x+2 and x+4. Their product is %28x%2B2%29%2A%28x%2B4%29=+x%5E2+%2B6%2Ax%2B8.
If x is odd, then the next even integer is x+1, and x+3 is the following even integer. Their product is %28x%2B1%29%2A%28x%2B3%29=+x%5E2+%2B4%2Ax%2B3.