Using Squares to Help Multiply-Shortcuts

Using Squares to Help Multiply-Shortcuts

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1.Two Numbers that Differ by 1   (for example.       35 & 34)
             If a > b then a x b = a xa – a     
                If a < b then a x b = axa + a      
2.Two Numbers that Differ by 2  (for example.      26 & 28)
              a x b = [(a + b)/2] x[(a + b)/2] -1   
3.Two Numbers that Differ by 3 (a < b)  (for.           example 26 & 29)
              a x b = (a + 1)2 + (a – 1)    
4.Two Numbers that Differ by 4  (For example.       18 & 22)
              a x b = [(a + b)/2] x [(a + b)/2] – 4    
5. Two Numbers that Differ by 6  (for example.        51 & 57)
              a x b = [(a + b)/2] x[(a + b)/2] – 9      
1. 6.Two Numbers that Differ by an Even Number:      a < b and c = (b – a)/2 (For example 59 & 67)
             a x b = [(a + b)/2] x[(a + b)/2] – cxc