Lets see if I can figure this out
(6 + √10)
(18 - √90) =
(108-√3240 + √3240 - √900)/ d.b. press
y3 - by2 + cy - d = 0, put y = x + b/3 to get
x3 + mx = n where m = c - b2/3, n = d - bc/3 + 2b3/27. (hammer)
-x4 + 2px2 + p2 = px2 - qx - r + p2
i.e.
(x2 + p)2 = px2 - qx - r + p2 (gym with no real equipment)
x3 + 3b2x = 2c3
Put x = (e2 - b2)/e. Then
e6 - 2c3e3 = b6
which is a quadratic in e3, and so can be solved for e3 to get
e3 = c3 +√(b6 + c6).
However
e3(e3 - 2c3) = b6 so that b6/e3 = -c3 +√(b6 + c6).
Got it.
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