playing with maths

lets play with maths for those who think calculations are pretty harder
some tricks involved in solving the square of a number& cube of number
eg:-
1)26^2=25^2+26th odd no=625+(2*26-1)=625+51=676
2)sly for, 36^2=35^2+(2*36-1)=1225+71=1296(and the trend continues for no. of the form x6^2)
3)21^2=20^2+21st odd no.=400+41=441
4)29^2=30^2-30thodd no.=900-(2*30-1)=900-59=841
5)34^2=35^2-35th odd no.=1225-69=1156
6)for 23^2=25^2-4*24=625-96=529
7)32^2=30^2+4*31=900+124=1024
cubes:-
1)ex:-103^3=the formula says (100+3x/3x^2/x^3)=100+9/27/27=1092727
sly
2) 16^3=the base is 10 here not 100 so evaluating for this we get=10+3*6/3*6^2/6^3=28/108/216=add 21 the second left u get 28/108+21/6=28/129/6=now add 12 to the left most u get 4096 steps seems to bebig when doing it becomes easier...........