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Question Number 141708 by Snail last updated on 22/May/21

2(8n^3 +m^3 )+6(m^2 −6n^2 )+3(2m+9n)=437   Find all positive  values of mn....?

$$\mathrm{2}\left(\mathrm{8}{n}^{\mathrm{3}} +{m}^{\mathrm{3}} \right)+\mathrm{6}\left({m}^{\mathrm{2}} −\mathrm{6}{n}^{\mathrm{2}} \right)+\mathrm{3}\left(\mathrm{2}{m}+\mathrm{9}{n}\right)=\mathrm{437}\: \\ $$$${Find}\:{all}\:{positive}\:\:{values}\:{of}\:{mn}....? \\ $$

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