SOLUTION: Which of the following statements can be used to prove that the sum of the squares of 3 consecutive odd integers is 20 more than 3 times the product of the first and last integers?

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Question 943184: Which of the following statements can be used to prove that the sum of the squares of 3 consecutive odd integers is 20 more than 3 times the product of the first and last integers?
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive odd integers: (x-2), x, (x+2)

(x-2)^2 + x^2 + (x+2)^2 = 3(x-2)(x+2) + 20


(x^2 - 4x + 4) + x^2 + (x^2 + 4x + 4)
= 3x^2 + 8
= 3(x^2 - 4) + 20
= 3(x-2)(x+2) + 20