SOLUTION: the difference between the cubes of two consecutive even numbers is 296.find the number?

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Question 223694: the difference between the cubes of two consecutive even numbers is 296.find the number?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(n+2)^3 - n^3 = 296
n%5E3+%2B+6n%5E2+%2B+12n+%2B+8+-+n%5E3+=+296
6n%5E2+%2B+12n+-+288+=+0
n%5E2+%2B+2n+-+48+=+0
(n+8)*(n-6) = 0
n = 6 ---> 6 and 8
n = -8 --> -8 and -6