Algebra with Paper cutting (a+b) Square = a square + b square + 2ab | English | Fun with Maths

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  • Uploaded 4 years ago in the category Paper Cutting Video Tutorials

    We will use paper cutting to prove the algebraic formula, (a+b)x (a+b) = a square + b square + 2ab

    We will first take a square and divide its side in 2 parts of length a and b.

    So the area of this large square is (a+b)x(a+b).

    We will just cut 2 square of size a and b from this large square of size (a+b) as shown.

    This will leave two rectangles whose sides are a and b.
    Thus we can easily show that large square
    (a+b)(a+b) = sum of two squares and 2 rectangles of sides a and b = a square + b square + 2ab 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

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