<prompt> Kutokana na kwamba a b 3 na a 3 b 3 81, kupata ab.  <response>: Tuna kupewa mfumo wa equation: a b 3 --- Equation 1 a3 b3 81 --- Equation 2 Ili kupata thamani ya ab, tunaweza kutumia jumla ya cubes factorization, ambayo ni a3 b3 a b a2 - ab b2. Kutumia hii, tunaweza kuandika upya Equation 2 kama: a b a2 - ab b2 81 Substituting Equation 1, tunapata: 3a2 - ab b2 81 Rahisisha zaidi, tunapata: a2 - ab b2 27 --- Equation 3 Sasa tunaweza kupata Equation 1 kwa mraba: a2 b a2 2ab 2 9 Kutumia Equation 3, tunaweza kuandika upya hii kama: a2 b2 a2 b2 - ab 2ab 3ab 9, Kwa hivyo, tunaweza kupata: 