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Question 141640: Pls help me solve this problem: The units digit of the difference of the squares of two integers is 2.What is the units digits of the sum of these two squares?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The units digit of the difference of the squares of two integers is 2.What is the units digits of the sum of these two squares?
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I am not sure why, but the difference any two squares with units digit of 2,
the sum of these two squares, the units digit is always 0.
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I can't give a very lucid explanation for it, however
For example:
81 - 49 = 32; 81 + 49 = 130
and
64 - 36 = 22; 64 + 36 = 100
and
16 - 4 = 12; 16 + 4 = 20
and
81 - 9 = 72; 81 + 9 = 90
etc
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