Proof without Words: (a+b+c)^2,(a+b-c)^2,(a+b+c)^2-(a+b-c)^2

Authors

  • Wasim Akram Mandal

Abstract


In this proof without words, we prove wordlessly the following theorems,
(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ca
(a+b-c)^2=a^2+b^2+c^2+2ab-2bc-2ca
(a+b+c)^2-(a+b-c)^2=4c(a+b)

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Published

2018-02-17

How to Cite

Mandal, W. A. (2018). Proof without Words: (a+b+c)^2,(a+b-c)^2,(a+b+c)^2-(a+b-c)^2. Ohio Journal of School Mathematics, 78(1). Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/6216

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Articles