SOLUTION: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false. If a^2-b^2 is even, then a and b are both even. A.4^2-2^2

Algebra ->  Geometry-proofs -> SOLUTION: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false. If a^2-b^2 is even, then a and b are both even. A.4^2-2^2      Log On


   

Question 1133809: Which choice gives an example that supports the conjecture, and a counterexample that shows the conjecture is false.
If a^2-b^2 is even, then a and b are both even.
A.4^2-2^2=12, but 9^2-8^2=17
B.8^2-6^2=28, but 4^2-2^2=12
C.4^2-2^2=12, but 7^2-4^2=33
D.8^2-6^2=28, but 5^2-3^2=16
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The counterexample has to show that a^2-b^2 can be even when a and b are not both even. The only answer choice that does that is D.