Catabolism exergonic yet breaking a bond is endothermic?

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ngu9997
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Hi - really basic question here, but I was wondering. In biology it's said that catabolic reactions which break something down release energy, making such exergonic. In chemistry it is said that breaking bonds is endo-thermic. This seems counter-intuitive to me? But, I realize it's because the two concepts are different yet related by a formula? Could someone explain to me why it's not actually counter-intuitive and where my line of reasoning is wrong?Also I guess this question would also work talking about why anabolism is endergonic, yet forming bonds is exothermic.
 
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In chemistry you rarely break a bond without forming new ones. "Breaking something down" in biology usually means forming more water and CO2, or other HO and CO bonds, and forming these tends to release a lot of energy compared to CC, CH and OO bonds (e. g. hydrocarbons and oxygen).