(a+b)^3

Today I was just chilling in school but for some reason I felt smart so I decided to derive a formula for (a+b)^3. This I failed at, but in the process I found an even more interesting pattern. 

Here it is :

 where n is the number of whole numbers present between a and b +1

If a≠b and b > a

(a+b)^3 = [[{b*(a+b)}^2] - [{a*(a+b)}^2]]/n

If a≠b and a > b

(a+b)^3 = [[{a*(a+b)}^2] - [{b*(a+b)}^2]]/n

Here is how you would write it in paper : 

unfortunately, this doesn't work when a = b, but I find it fascinating how the difference of squares of two different numbers (divided by n) can result in the cube of another number. Math is fascinating

lol, writing using a touchpad is hard

This reminded me that I have an algebra test today in first period

bump

well good luck

Bump

eee

im getting the test back on wednesday

Yo good luck