Two integers have a difference of −18 and a sum of 2. What is the product of the two integers?

No, b just be: 2 - ( -8 ) = 10 and the product is -80, Oh :(

Call two integers is a and b ( \(a,b\in Z\))

Because a and b have the same role, suppose a > b

So we have:

a - b = -18

a + b = 2

=> a = ( -18 + 2) / 2 = -8

=> b = -8 -2 = -10

So their product is: -8 x (-10) = 80