# problem solving in RAE

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What is the product of 3 consecutive even integers if the middle integer is x?

• problem solving in RAE -

x-2, x, and x+2 , (even numbers are 2 apart)

"product" is the result of multiplication, so

(x-2)(x)(x+2)
= x(x^2 - 4)
or
= x^3 - 4x

check:
let the 3 numbers be 6,8, and 10, (so x = 8)
product = 6*8*10 = 480
from my formula: (8^3) - 4(8) = 512-32 = 480

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