Saturday, January 5, 2013

Calculate following expressions without a calculator and a pen

       2013 ⋅ 2012       
2013 ⋅ 2011 + 20132

20132 - 20122
2012 + 2013

                                                                         
 20132- 2 ⋅ 2013 ⋅ 2012 + 20122

                                                                       
   10052 + 2 ⋅ 1005 ⋅ 1007 + 10072


            123456789            
123456788 + 123456790

20133 - 3 ⋅ 20132 ⋅ 2012 + 3 ⋅ 2013 ⋅ 20122 - 20123
           20132 -  2 ⋅ 2013 ⋅ 2012 + 20122

    20133 + 3 ⋅ 20132 ⋅ 2012 + 3 ⋅ 2013 ⋅ 20122 +  20123
           20132 +  2 ⋅ 2013 ⋅ 2012 + 20122
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