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...........

quotes for the day

It is easy to dodge a spear that comes in front of you but hard to keep harms away from an arrow shot from behind.
An inch of time is an inch of gold but you can't buy that inch of time with an inch of gold.