Kel3se5yAshcutier
Kel3se5yAshcutier Kel3se5yAshcutier
  • 21-07-2016
  • Mathematics
contestada

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

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EjerciciosFyQ
EjerciciosFyQ EjerciciosFyQ
  • 21-07-2016
a) [tex](ab)^2[/tex]. The square power of an odd integer is always an odd integer. For example: [tex]21^2 = 441[/tex]

b) [tex]a^2 - b^2[/tex]. [tex]a^2[/tex] is an even integer and [tex]b^2[/tex] 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.
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