Completing The Square via the Difference of Squares (visual proof)

This is a short, animated visual proof showing how to derive the formula for "completing the square." This proof first uncovers the formula for the difference of squares. The resulting algebraic formula can be used to write a polynomial of the form x^2 +ax as a difference of two squares. #mathshorts​ #mathvideo​ #math​ #completingthesquare #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #algebra #completingthesquare

Here is another visual proof of the same fact:

To learn more about animating with manim, check out:

[Dark_Slayer]

Thanks for doing the cube version too :)

[shubhamg]

Do you have any plan to make a video on geometry & complex numbers?

[missingtourist]

Any plan to make math magic type videos or weird math things like dividing by zero or what’s the deal with prime numbers?