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The second power of 2012 minus 2 times 2012 times 2013 plus the second power of 2013
The second power of 2012 minus 2 times 2012 times 2013 plus the second power of 2013
=(2012-2013)^2
=1
This problem uses the formula a^2-2ab + b^2=(a-b)^2
A =2012, b =2013
S=1 to the second power of -2 to the second power of +3 to the second power of.+99 to the second power of -100 to the second power of +101 to the second power, then the remainder of s divided by 103 is
Quadrature of 1-2+3...+99-100+101
=1²+(3-2)(2+3)+(5-4)(5+4)+...+(101-100)(101+100)
=1+2+3+...+101
=(1+101)×101/2
=5151
Remainder is 5151÷103=50 Remainder1
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