Determining (a + b + c)2

Ajay a 9th std student from Udavi school had chose to learn Algebraic identities as a goal for his weekly plan . He wanted to prove:

(a + b + c)2 = a2 + ab + ac + ba + b2 + bc + ca + cb + c2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

He had made this into a project and created a module for others to learn using color foam paper. The module consisted of different rectangles and squares with specific sides.


Here the red square has sides of dimension ‘a’, likewise yellow with ‘b’ and blue with ‘c’,The rectangles are combination of ‘ab’, ‘bc’, ‘ca’. and when put together the whole shape is  corresponds to (a + b + c)2

After completing this project Ajay had presented it to the class, and many children where inspired and took to action in designing the same in Alice, and starting new projects in Algebra.


– Naveen & Sundar