Algebra with paper cutting -  a square -  b square | English | Fun with Mahts
Channel: Arvind Gupta
Date: 2015-04-02

We will use paper cutting to prove the algebraic formula
Difference of 2 squares a and b, a square - b square = (a+b) (a-b)

We will first take a square and lets say its side is a. So its area is a times a or a square. Now lets make another square of side b in one corner. The area of this smaller square is b times b or b square. Now we will cut this smaller square from the larger.
The remaining paper should be a square - b square.

We will now show that this paper left is a rectangle of size a+b and a-b.  Fr this cut along the small rectangular piece as shown and place it at the bottom as shown. You will now have a rectangle of size a+b as width and height as a-b.
So the difference of two squares is a square - b square = (a+b) (a-b) This work was supported by IUCAA and Tata Trust. This film was made by Ashok Rupner TATA Trust: Education is one of the key focus areas for Tata Trusts, aiming towards enabling access of quality education to the underprivileged population in India. To facilitate quality in teaching and learning of Science education through workshops, capacity building and resource creation, Tata Trusts have been supporting Muktangan Vigyan Shodhika (MVS), IUCAA's Children’s Science Centre, since inception. To know more about other initiatives of Tata Trusts, please visit www.tatatrusts.org