V = a³
a = 2√3 - 1
(a-b)³ = a³ - 3a²b + 3ab² - b³
V = (2√3 - 1)³ = (2√3)³ - 3•(2√3)²•1 + 3•2√3•1² - 1³ =
= 8•3√3 - 3•4•3•1 + 3•2√3•1 - 1 =
= 24√3 - 36 + 6√3 - 1 =
= (30√3 - 37) j³
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Verified answer
V = a³
a = 2√3 - 1
(a-b)³ = a³ - 3a²b + 3ab² - b³
V = (2√3 - 1)³ = (2√3)³ - 3•(2√3)²•1 + 3•2√3•1² - 1³ =
= 8•3√3 - 3•4•3•1 + 3•2√3•1 - 1 =
= 24√3 - 36 + 6√3 - 1 =
= (30√3 - 37) j³