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Just for the sake of correctness: allumina hydrata known as flame retardant is designed also as allumina trihydrata or (ATH). Its chemical formula is not (Al2O3.3H2O), but speaking more accurately chemically is known as alluminium trihydroxide
Al(OH)3 having typical amphoteric properties. While otherwise, after thermic decomposition it results the following reaction: Al(OH)3=Al2O3+3H2O. So, the compound proposed to you is the decomposed product of ATH and not Hydrate of allumina.