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= ((³log9 + ³log4)² - (³log4)²) / (1+³log4)
= ((2 + ³log4)² - (³log4)²) / (1+³log4)
= (4 + 4³log4 + ³log² 4 - ³log²4) / (1+³log4)
= (4 + 4³log4) / (1+³log4)
= 4(1+³log4) / (1+³log4)
= 4