Add the product: a(a – b), b(b – c), c(c – a)

1.	Add the product: a(a – b), b(b – c), c(c – a)
Answer» a(a – b) + b(b – c) + c(c – a) = a × a – a × b + b × b – b × c + c × c – c × a = a² – ab + b² – bc + c² – ca = a² + b² + c² – ab – bc – ca

Answer»

a(a – b) + b(b – c) + c(c – a)

= a × a – a × b + b × b – b × c + c × c – c × a

= a² – ab + b² – bc + c² – ca

= a² + b² + c² – ab – bc – ca

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