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

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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Copyright (c) 2018 Wasim Akram Mandal

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ISSN 2472-5986 (print)
ISSN 2472-601X (online)