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Beauty of Mathematics !!!!!!!


1 x 8 + 1 = 9 
12 x 8 + 2 = 98 
123 x 8 + 3 = 987 
1234 x 8 + 4 = 9876 
12345 x 8 + 5 = 98765 
123456 x 8 + 6 = 987654 
1234567 x 8 + 7 = 9876543 
12345678 x 8 + 8 = 98765432 
123456789 x 8 + 9 = 987654321 

1 x 9 + 2 = 11 
12 x 9 + 3 = 111 
123 x 9 + 4 = 1111 
1234 x 9 + 5 = 11111 
12345 x 9 + 6 = 111111 
123456 x 9 + 7 = 1111111 
1234567 x 9 + 8 = 11111111 
12345678 x 9 + 9 = 111111111 
123456789 x 9 +10= 1111111111 

9 x 9 + 7 = 88 
98 x 9 + 6 = 888 
987 x 9 + 5 = 8888 
9876 x 9 + 4 = 88888 
98765 x 9 + 3 = 888888 
987654 x 9 + 2 = 8888888 
9876543 x 9 + 1 = 88888888 
98765432 x 9 + 0 = 888888888 

Brilliant, isn't it? 

And look at this symmetry: 

1 x 1 = 1 
11 x 11 = 121 
111 x 111 = 12321 
1111 x 1111 = 1234321 
11111 x 11111 = 123454321 
111111 x 111111 = 12345654321 
1111111 x 1111111 = 1234567654321 
11111111 x 11111111 = 123456787654321 
111111111 x 111111111 = 12345678987654321 


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