find the value:
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x = 1 - √2
(x - 1/2)³
= [(2x - 1)/2]³
= [(2(1 - √2) - 1)/2]³
= [(2 - 2√2 - 1)/2]³
= [(1 - 2√2)/2]³
= (1 - 2√2)³ / 8
From (a - b)³ = a³ - b³ - 3ab(a - b)
= [1³ - (2√2)³ - (3 × 1 × 2√2)(1 - 2√2)]/8
= [1 - 16√2 - 6√2(1 - 2√2)]/8
= [1 - 16√2 - 6√2 + 24]/8
= [25 - 22√2]/8
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