I have a really hard question from IMO (1984) it goes: Find the factors of a^3(b-c) + b^3(c-a) + c^3(a-b). Does anyone know how to solve this? If possible, show working/reasoning as well? Thanks
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Hello, cedricc! We will factor "by grouping" ... repeatedly. Factor: . We have: . Rearrange: . Factor: . Factor: . Factor: . Simplify: . Rearrange: . Factor: . Factor: . Factor: . Simplify: . Rearrange: . Factor: . Factor: . Therefore: .
Thank you so much, Soroban! =]
Woah Soroban, thumbs up for having kept the equation valid to the end ... I'd probably have made a mistake at the seventh line
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