① It is known that: (a + b) 2 = m, (a-b) 2 = n, a and#179; B and#179; are represented by formulas containing m and n

(a+b)²=a²+2ab+b²=m………… ①
(a-b)²=a²-2ab+b²=n………… ②
① - 2
4ab=m-n
ab=(m-n)/4
∴a³b³
=(ab)³
=[(m-n)/4]³
=(m-n)³/64

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