Power Of Squares Comments

Oh dear, I fear you may have discovere algebra. Don't tell anyone. Otherwise, they may develop the science of rocketery - the secret of parabolas. Eek!

it's really funny because the difference (shown as Z) between X^2 and (X+1) ^2 compared to the difference (Z) of (X+1) ^2 and (X+2) ^2 is always uping by two. 4^2 = 16 2*4+1 = 9 (4+1) ^2 = 25 (4^2) + (2 * 4 + 1) = (4 + 1) ^2 - 5^2 = 25 2*5+1 = 11 (5+1) ^2 = 36 (5^2) + (2 * 5 + 1) = (5 + 1) ^2 and the equation just keeps working and working. i am pretty sure i can't be the first person to notice this pattern? it doesn't work when you cube the X but it works everytime when you square it (^2) .i would like to find a pattern between any of the powers not just squares, but it works!