If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2? Choose the correct choice from the following answers
A) a)28 B) b)26 C) c)12 D) d)10 E) e)42
a, b and c are even integers which means that, supposing that x, y and z are integers, then a=2x, b=2y and c=2z   Therefore we have: a^2+b^2+c^2=2^2*x^2+2^2*y+2^2*z=4x^2+4y^2+4z^2=4(x^2+y^2+z^2).   Which means that the total a^2+b^2+c^2 must be divisible by 4.   The only choice which is divisible by 4 is: c)12)   12=2^2+2^2+2^2   Answer: c)12.
<result>C</result>
If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?