Question

the integer a is even and the integer b is odd. which of the following integers will be even: a) (a b)2 b) a2-b2 c) 2a b d) a 2b e) none of the above

Answer 1

a)
`(ab)^2`. The square power of an odd integer is always an odd integer. For example:
`21^2 = 441`

b)
`a^2 - b^2`.
`a^2` is an even integer and
`b^2` is an odd integer. The difference between both numbers is and odd integer.

c) The product of an even integer (2a) and an odd integer is always a even integer.

d) The product of an even integer (a) and other even integer (2b) is always a even integer.

The answer is c) and d) cases.